2540479324032 has 768 divisors, whose sum is σ = 8574072998400. Its totient is φ = 742906847232.

The previous prime is 2540479324027. The next prime is 2540479324087. The reversal of 2540479324032 is 2304239740452.

2540479324032 is a `hidden beast` number, since 2 + 540 + 4 + 7 + 9 + 32 + 40 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1608915819 + ... + 1608917397.

It is an arithmetic number, because the mean of its divisors is an integer number (11164157550).

Almost surely, 2^{2540479324032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540479324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287036499200).

2540479324032 is an abundant number, since it is smaller than the sum of its proper divisors (6033593674368).

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

2540479324032 is a wasteful number, since it uses less digits than its factorization.

2540479324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1817 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2540479324032 in words is "two trillion, five hundred forty billion, four hundred seventy-nine million, three hundred twenty-four thousand, thirty-two".