2461315256400 has 3240 divisors, whose sum is σ = 11518998361920. Its totient is φ = 446500454400.

The previous prime is 2461315256383. The next prime is 2461315256459. The reversal of 2461315256400 is 46525131642.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 27655227556 + ... + 27655227644.

It is an arithmetic number, because the mean of its divisors is an integer number (3555246408).

Almost surely, 2^{2461315256400} is an apocalyptic number.

2461315256400 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 2461315256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759499180960).

2461315256400 is an abundant number, since it is smaller than the sum of its proper divisors (9057683105520).

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

2461315256400 is a wasteful number, since it uses less digits than its factorization.

2461315256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 2461315256400 in words is "two trillion, four hundred sixty-one billion, three hundred fifteen million, two hundred fifty-six thousand, four hundred".