2956612800 has 336 divisors, whose sum is σ = 10816986240. Its totient is φ = 702627840.

The previous prime is 2956612751. The next prime is 2956612801. The reversal of 2956612800 is 82166592.

It is not an unprimeable number, because it can be changed into a prime (2956612801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549447 + ... + 1551353.

Almost surely, 2^2956612800 is an apocalyptic number.

2956612800 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 2956612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408493120).

2956612800 is an abundant number, since it is smaller than the sum of its proper divisors (7860373440).

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

2956612800 is a wasteful number, since it uses less digits than its factorization.

2956612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2956612800 is about 54374.7441373291. The cubic root of 2956612800 is about 1435.2629836057.

The spelling of 2956612800 in words is "two billion, nine hundred fifty-six million, six hundred twelve thousand, eight hundred".