2756252160 has 480 divisors, whose sum is σ = 10479186432. Its totient is φ = 666501120.

The previous prime is 2756252123. The next prime is 2756252189. The reversal of 2756252160 is 612526572.

2756252160 is a `hidden beast` number, since 2 + 7 + 5 + 625 + 21 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 12141967 + ... + 12142193.

Almost surely, 2^2756252160 is an apocalyptic number.

2756252160 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 2756252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239593216).

2756252160 is an abundant number, since it is smaller than the sum of its proper divisors (7722934272).

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

2756252160 is a wasteful number, since it uses less digits than its factorization.

2756252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2756252160 is about 52500.0205714245. The cubic root of 2756252160 is about 1402.0806070587.

The spelling of 2756252160 in words is "two billion, seven hundred fifty-six million, two hundred fifty-two thousand, one hundred sixty".