2612689920 has 396 divisors, whose sum is σ = 9512900280. Its totient is φ = 662814720.

The previous prime is 2612689903. The next prime is 2612689927. The reversal of 2612689920 is 299862162.

2612689920 is a `hidden beast` number, since 2 + 612 + 6 + 8 + 9 + 9 + 20 = 666.

It is a super-2 number, since 2×2612689920² = 13652297236139212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612689927) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44282851 + ... + 44282909.

Almost surely, 2^2612689920 is an apocalyptic number.

2612689920 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 2612689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756450140).

2612689920 is an abundant number, since it is smaller than the sum of its proper divisors (6900210360).

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

2612689920 is a wasteful number, since it uses less digits than its factorization.

2612689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2612689920 is about 51114.4785750574. The cubic root of 2612689920 is about 1377.3023544853.

The spelling of 2612689920 in words is "two billion, six hundred twelve million, six hundred eighty-nine thousand, nine hundred twenty".