2552763720 has 128 divisors (see below), whose sum is σ = 8302775040. Its totient is φ = 624153600.

The previous prime is 2552763713. The next prime is 2552763739. The reversal of 2552763720 is 273672552.

It is a super-2 number, since 2×2552763720² = 13033205220296476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 230142 + ... + 240978.

It is an arithmetic number, because the mean of its divisors is an integer number (64865430).

Almost surely, 2^2552763720 is an apocalyptic number.

2552763720 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 2552763720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151387520).

2552763720 is an abundant number, since it is smaller than the sum of its proper divisors (5750011320).

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

2552763720 is a wasteful number, since it uses less digits than its factorization.

2552763720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11015 (or 11011 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The square root of 2552763720 is about 50524.8821868988. The cubic root of 2552763720 is about 1366.6905967123.

The spelling of 2552763720 in words is "two billion, five hundred fifty-two million, seven hundred sixty-three thousand, seven hundred twenty".