2656452000 has 384 divisors, whose sum is σ = 9273858048. Its totient is φ = 663552000.

The previous prime is 2656451981. The next prime is 2656452017. The reversal of 2656452000 is 2546562.

2656452000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13763904 + ... + 13764096.

It is an arithmetic number, because the mean of its divisors is an integer number (24150672).

Almost surely, 2^2656452000 is an apocalyptic number.

2656452000 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 2656452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636929024).

2656452000 is an abundant number, since it is smaller than the sum of its proper divisors (6617406048).

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

2656452000 is a wasteful number, since it uses less digits than its factorization.

2656452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2656452000 is about 51540.7799708153. The cubic root of 2656452000 is about 1384.9496695252.

Adding to 2656452000 its reverse (2546562), we get a palindrome (2658998562).

The spelling of 2656452000 in words is "two billion, six hundred fifty-six million, four hundred fifty-two thousand".