2906676264960 has 1080 divisors, whose sum is σ = 11330291179350. Its totient is φ = 715489542144.

The previous prime is 2906676264949. The next prime is 2906676265033. The reversal of 2906676264960 is 694626766092.

2906676264960 is a `hidden beast` number, since 29 + 0 + 6 + 67 + 62 + 6 + 496 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1253826625536 + 1652849639424 = 1119744^2 + 1285632^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×2906676264960² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 223590481914 + ... + 223590481926.

Almost surely, 2^{2906676264960} is an apocalyptic number.

2906676264960 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 2906676264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665145589675).

2906676264960 is an abundant number, since it is smaller than the sum of its proper divisors (8423614914390).

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

2906676264960 is an frugal number, since it uses more digits than its factorization.

2906676264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 2906676264960 in words is "two trillion, nine hundred six billion, six hundred seventy-six million, two hundred sixty-four thousand, nine hundred sixty".