2457340497920 has 1248 divisors, whose sum is σ = 7951630934016. Its totient is φ = 719644262400.

The previous prime is 2457340497869. The next prime is 2457340497949. The reversal of 2457340497920 is 297940437542.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14714613677 + ... + 14714613843.

Almost surely, 2^{2457340497920} is an apocalyptic number.

2457340497920 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 2457340497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3975815467008).

2457340497920 is an abundant number, since it is smaller than the sum of its proper divisors (5494290436096).

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

2457340497920 is a wasteful number, since it uses less digits than its factorization.

2457340497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 2457340497920 in words is "two trillion, four hundred fifty-seven billion, three hundred forty million, four hundred ninety-seven thousand, nine hundred twenty".