2959468800 has 216 divisors, whose sum is σ = 10342525536. Its totient is φ = 742686720.

The previous prime is 2959468793. The next prime is 2959468829. The reversal of 2959468800 is 88649592.

It is a Cunningham number, because it is equal to 54401²-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321867 + ... + 330933.

Almost surely, 2^2959468800 is an apocalyptic number.

2959468800 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 2959468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171262768).

2959468800 is an abundant number, since it is smaller than the sum of its proper divisors (7383056736).

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

2959468800 is a wasteful number, since it uses less digits than its factorization.

2959468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113 (or 9094 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 2959468800 is about 54400.9999908090. Note that the first 5 decimals coincide. The cubic root of 2959468800 is about 1435.7249753277.

The spelling of 2959468800 in words is "two billion, nine hundred fifty-nine million, four hundred sixty-eight thousand, eight hundred".