2542132460 has 96 divisors (see below), whose sum is σ = 6336005760. Its totient is φ = 838268928.

The previous prime is 2542132441. The next prime is 2542132499. The reversal of 2542132460 is 642312452.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 1188512 + ... + 1190648.

It is an arithmetic number, because the mean of its divisors is an integer number (66000060).

Almost surely, 2^2542132460 is an apocalyptic number.

2542132460 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 2542132460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168002880).

2542132460 is an abundant number, since it is smaller than the sum of its proper divisors (3793873300).

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

2542132460 is a wasteful number, since it uses less digits than its factorization.

2542132460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2542132460 is about 50419.5642583313. The cubic root of 2542132460 is about 1364.7907133500.

The spelling of 2542132460 in words is "two billion, five hundred forty-two million, one hundred thirty-two thousand, four hundred sixty".