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2642606620 = 2252341612297
BaseRepresentation
bin1001110110000010…
…1111101000011100
320211011112022210021
42131200233220130
520403001402440
61114120121524
7122325533323
oct23540575034
96734468707
102642606620
111136756515
126190062a4
13331640074
141b0d730ba
15106ee984a
hex9d82fa1c

2642606620 has 96 divisors (see below), whose sum is σ = 6031863936. Its totient is φ = 969830400.

The previous prime is 2642606611. The next prime is 2642606627. The reversal of 2642606620 is 266062462.

2642606620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642606627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149312 + ... + 1151608.

It is an arithmetic number, because the mean of its divisors is an integer number (62831916).

Almost surely, 22642606620 is an apocalyptic number.

2642606620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642606620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015931968).

2642606620 is an abundant number, since it is smaller than the sum of its proper divisors (3389257316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2642606620 is a wasteful number, since it uses less digits than its factorization.

2642606620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 2642606620 is about 51406.2896929938. The cubic root of 2642606620 is about 1382.5393662620.

The spelling of 2642606620 in words is "two billion, six hundred forty-two million, six hundred six thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 41 46 61 82 92 115 122 164 205 230 244 305 410 460 610 820 943 1220 1403 1886 2297 2501 2806 3772 4594 4715 5002 5612 7015 9188 9430 10004 11485 12505 14030 18860 22970 25010 28060 45940 50020 52831 57523 94177 105662 115046 140117 188354 211324 230092 264155 280234 287615 376708 470885 528310 560468 575230 700585 941770 1056620 1150460 1401170 1883540 2166071 2802340 3222691 4332142 5744797 6445382 8664284 10830355 11489594 12890764 16113455 21660710 22979188 28723985 32226910 43321420 57447970 64453820 114895940 132130331 264260662 528521324 660651655 1321303310 2642606620