2655734400 has 576 divisors, whose sum is σ = 10565886240. Its totient is φ = 629760000.

The previous prime is 2655734383. The next prime is 2655734413. The reversal of 2655734400 is 44375562.

2655734400 is a `hidden beast` number, since 265 + 57 + 344 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 26294350 + ... + 26294450.

Almost surely, 2^2655734400 is an apocalyptic number.

2655734400 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 2655734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282943120).

2655734400 is an abundant number, since it is smaller than the sum of its proper divisors (7910151840).

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

2655734400 is a wasteful number, since it uses less digits than its factorization.

2655734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 2655734400 is about 51533.8180227314. The cubic root of 2655734400 is about 1384.8249506161.

The spelling of 2655734400 in words is "two billion, six hundred fifty-five million, seven hundred thirty-four thousand, four hundred".