2540716160 has 64 divisors (see below), whose sum is σ = 6338018880. Its totient is φ = 972094464.

The previous prime is 2540716159. The next prime is 2540716201. The reversal of 2540716160 is 616170452.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71582 + ... + 101021.

It is an arithmetic number, because the mean of its divisors is an integer number (99031545).

Almost surely, 2^2540716160 is an apocalyptic number.

2540716160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540716160 is an abundant number, since it is smaller than the sum of its proper divisors (3797302720).

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

2540716160 is a wasteful number, since it uses less digits than its factorization.

2540716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172645 (or 172633 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 2540716160 is about 50405.5171583429. The cubic root of 2540716160 is about 1364.5372106709.

The spelling of 2540716160 in words is "two billion, five hundred forty million, seven hundred sixteen thousand, one hundred sixty".