2548215974304 has 1152 divisors, whose sum is σ = 10333322108928. Its totient is φ = 573269114880.

The previous prime is 2548215974299. The next prime is 2548215974357. The reversal of 2548215974304 is 4034795128452.

It is a happy number.

2548215974304 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 2 + 1 + 597 + 43 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2269114287 + ... + 2269115409.

It is an arithmetic number, because the mean of its divisors is an integer number (8969897664).

Almost surely, 2^{2548215974304} is an apocalyptic number.

2548215974304 is a gapful number since it is divisible by the number (24) 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 2548215974304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166661054464).

2548215974304 is an abundant number, since it is smaller than the sum of its proper divisors (7785106134624).

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

2548215974304 is a wasteful number, since it uses less digits than its factorization.

2548215974304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 2548215974304 in words is "two trillion, five hundred forty-eight billion, two hundred fifteen million, nine hundred seventy-four thousand, three hundred four".