2555249760 has 192 divisors, whose sum is σ = 10221120000. Its totient is φ = 584050176.

The previous prime is 2555249747. The next prime is 2555249771. The reversal of 2555249760 is 679425552.

2555249760 is a `hidden beast` number, since 2 + 5 + 552 + 4 + 97 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12010 + ... + 72489.

It is an arithmetic number, because the mean of its divisors is an integer number (53235000).

Almost surely, 2^2555249760 is an apocalyptic number.

2555249760 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 2555249760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560000).

2555249760 is an abundant number, since it is smaller than the sum of its proper divisors (7665870240).

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

2555249760 is a wasteful number, since it uses less digits than its factorization.

2555249760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84530 (or 84516 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2555249760 is about 50549.4783355872. The cubic root of 2555249760 is about 1367.1341088575.

The spelling of 2555249760 in words is "two billion, five hundred fifty-five million, two hundred forty-nine thousand, seven hundred sixty".