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2561422620 = 22351011672531
BaseRepresentation
bin1001100010101100…
…0011010100011100
320121111202202021110
42120223003110130
520221211010440
61102100102020
7120321506301
oct23053032434
96544682243
102561422620
1110a49467a9
125b5994910
1331a886ab3
141a427d0a8
15eed10080
hex98ac351c

2561422620 has 96 divisors (see below), whose sum is σ = 7289243136. Its totient is φ = 671968000.

The previous prime is 2561422607. The next prime is 2561422627. The reversal of 2561422620 is 262241652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561422627) 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, 1010755 + ... + 1013285.

It is an arithmetic number, because the mean of its divisors is an integer number (75929616).

Almost surely, 22561422620 is an apocalyptic number.

2561422620 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 2561422620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644621568).

2561422620 is an abundant number, since it is smaller than the sum of its proper divisors (4727820516).

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

2561422620 is a wasteful number, since it uses less digits than its factorization.

2561422620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2561422620 is about 50610.4991083866. The cubic root of 2561422620 is about 1368.2341110397.

The spelling of 2561422620 in words is "two billion, five hundred sixty-one million, four hundred twenty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 167 202 303 334 404 501 505 606 668 835 1002 1010 1212 1515 1670 2004 2020 2505 2531 3030 3340 5010 5062 6060 7593 10020 10124 12655 15186 16867 25310 30372 33734 37965 50601 50620 67468 75930 84335 101202 151860 168670 202404 253005 255631 337340 422677 506010 511262 766893 845354 1012020 1022524 1268031 1278155 1533786 1690708 2113385 2536062 2556310 3067572 3834465 4226770 5072124 5112620 6340155 7668930 8453540 12680310 15337860 25360620 42690377 85380754 128071131 170761508 213451885 256142262 426903770 512284524 640355655 853807540 1280711310 2561422620