2460253635840 has 2304 divisors, whose sum is σ = 11015531864064. Its totient is φ = 451569254400.

The previous prime is 2460253635823. The next prime is 2460253635877. The reversal of 2460253635840 is 485363520642.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2460253635840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10559028364 + ... + 10559028596.

It is an arithmetic number, because the mean of its divisors is an integer number (4781046816).

Almost surely, 2^{2460253635840} is an apocalyptic number.

2460253635840 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 2460253635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5507765932032).

2460253635840 is an abundant number, since it is smaller than the sum of its proper divisors (8555278228224).

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

2460253635840 is a wasteful number, since it uses less digits than its factorization.

2460253635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 2460253635840 in words is "two trillion, four hundred sixty billion, two hundred fifty-three million, six hundred thirty-five thousand, eight hundred forty".