2555481600 has 360 divisors, whose sum is σ = 10455141840. Its totient is φ = 583925760.

The previous prime is 2555481527. The next prime is 2555481611. The reversal of 2555481600 is 61845552.

2555481600 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 48 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 804816 + ... + 807984.

Almost surely, 2^2555481600 is an apocalyptic number.

2555481600 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 2555481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227570920).

2555481600 is an abundant number, since it is smaller than the sum of its proper divisors (7899660240).

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

2555481600 is a wasteful number, since it uses less digits than its factorization.

2555481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2555481600 is about 50551.7714823131. The cubic root of 2555481600 is about 1367.1754546901.

The spelling of 2555481600 in words is "two billion, five hundred fifty-five million, four hundred eighty-one thousand, six hundred".