2959564800 has 168 divisors, whose sum is σ = 9787728456. Its totient is φ = 789053440.

The previous prime is 2959564763. The next prime is 2959564801. The reversal of 2959564800 is 84659592.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2959564800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959564801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611992 + ... + 616808.

Almost surely, 2^2959564800 is an apocalyptic number.

2959564800 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 2959564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893864228).

2959564800 is an abundant number, since it is smaller than the sum of its proper divisors (6828163656).

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

2959564800 is an equidigital number, since it uses as much as digits as its factorization.

2959564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The square root of 2959564800 is about 54401.8823203756. The cubic root of 2959564800 is about 1435.7404992968.

It can be divided in two parts, 29595 and 64800, that added together give a triangular number (94395 = T₄₃₄).

The spelling of 2959564800 in words is "two billion, nine hundred fifty-nine million, five hundred sixty-four thousand, eight hundred".