2996845699600 has 135 divisors (see below), whose sum is σ = 7280409168181. Its totient is φ = 1185484672000.

The previous prime is 2996845699579. The next prime is 2996845699637. The reversal of 2996845699600 is 69965486992.

The square root of 2996845699600 is 1731140.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 85809156624 + 2911036542976 = 292932^2 + 1706176^2 .

It is a super-2 number, since 2×2996845699600² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3496902372 + ... + 3496903228.

Almost surely, 2^{2996845699600} is an apocalyptic number.

2996845699600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2996845699600 is the 1731140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996845699600

2996845699600 is an abundant number, since it is smaller than the sum of its proper divisors (4283563468581).

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

2996845699600 is an frugal number, since it uses more digits than its factorization.

2996845699600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 73.

The spelling of 2996845699600 in words is "two trillion, nine hundred ninety-six billion, eight hundred forty-five million, six hundred ninety-nine thousand, six hundred".