2547372960 has 288 divisors, whose sum is σ = 9617444928. Its totient is φ = 608808960.

The previous prime is 2547372953. The next prime is 2547372977. The reversal of 2547372960 is 692737452.

2547372960 is a `hidden beast` number, since 25 + 473 + 72 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155219 + ... + 1157421.

It is an arithmetic number, because the mean of its divisors is an integer number (33393906).

Almost surely, 2^2547372960 is an apocalyptic number.

2547372960 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 2547372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808722464).

2547372960 is an abundant number, since it is smaller than the sum of its proper divisors (7070071968).

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

2547372960 is a wasteful number, since it uses less digits than its factorization.

2547372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 2547372960 is about 50471.5064169874. The cubic root of 2547372960 is about 1365.7278893656.

The spelling of 2547372960 in words is "two billion, five hundred forty-seven million, three hundred seventy-two thousand, nine hundred sixty".