2956806400 has 216 divisors, whose sum is σ = 7801375680. Its totient is φ = 1107025920.

The previous prime is 2956806397. The next prime is 2956806401. The reversal of 2956806400 is 46086592.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2956806401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7801411 + ... + 7801789.

It is an arithmetic number, because the mean of its divisors is an integer number (36117480).

Almost surely, 2^2956806400 is an apocalyptic number.

2956806400 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 2956806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900687840).

2956806400 is an abundant number, since it is smaller than the sum of its proper divisors (4844569280).

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

2956806400 is a wasteful number, since it uses less digits than its factorization.

2956806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 2956806400 is about 54376.5243464494. The cubic root of 2956806400 is about 1435.2943100895.

The spelling of 2956806400 in words is "two billion, nine hundred fifty-six million, eight hundred six thousand, four hundred".