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2040625840 = 2451119312127
BaseRepresentation
bin111100110100001…
…0111101010110000
312021012210112101211
41321220113222300
513134400011330
6534253405504
7101366014321
oct17150275260
95235715354
102040625840
11957975440
1248b499894
132669cca16
14155032448
15be239d2a
hex79a17ab0

2040625840 has 240 divisors, whose sum is σ = 5673922560. Its totient is φ = 674956800.

The previous prime is 2040625831. The next prime is 2040625843. The reversal of 2040625840 is 485260402.

It is a super-3 number, since 3×20406258403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2040625843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16067857 + ... + 16067983.

It is an arithmetic number, because the mean of its divisors is an integer number (23641344).

Almost surely, 22040625840 is an apocalyptic number.

2040625840 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 2040625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836961280).

2040625840 is an abundant number, since it is smaller than the sum of its proper divisors (3633296720).

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

2040625840 is a wasteful number, since it uses less digits than its factorization.

2040625840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 2040625840 is about 45173.2867965128. The cubic root of 2040625840 is about 1268.3948224335.

It can be divided in two parts, 204062 and 5840, that added together give a palindrome (209902).

The spelling of 2040625840 in words is "two billion, forty million, six hundred twenty-five thousand, eight hundred forty".