2956694400 has 960 divisors, whose sum is σ = 12809514960. Its totient is φ = 663552000.

The previous prime is 2956694371. The next prime is 2956694423. The reversal of 2956694400 is 44966592.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48470370 + ... + 48470430.

Almost surely, 2^2956694400 is an apocalyptic number.

2956694400 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 2956694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404757480).

2956694400 is an abundant number, since it is smaller than the sum of its proper divisors (9852820560).

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

2956694400 is a wasteful number, since it uses less digits than its factorization.

2956694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2956694400 is about 54375.4944805102. The cubic root of 2956694400 is about 1435.2761874970.

The spelling of 2956694400 in words is "two billion, nine hundred fifty-six million, six hundred ninety-four thousand, four hundred".