2655853200 has 1080 divisors, whose sum is σ = 12654509504. Its totient is φ = 501811200.

The previous prime is 2655853181. The next prime is 2655853219. The reversal of 2655853200 is 23585562.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2655853181) and next prime (2655853219).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 39639567 + ... + 39639633.

Almost surely, 2^2655853200 is an apocalyptic number.

2655853200 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 2655853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327254752).

2655853200 is an abundant number, since it is smaller than the sum of its proper divisors (9998656304).

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

2655853200 is a wasteful number, since it uses less digits than its factorization.

2655853200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2655853200 is about 51534.9706510055. The cubic root of 2655853200 is about 1384.8455996126.

The spelling of 2655853200 in words is "two billion, six hundred fifty-five million, eight hundred fifty-three thousand, two hundred".