2400253938768 has 160 divisors (see below), whose sum is σ = 7460734704640. Its totient is φ = 649579668480.

The previous prime is 2400253938757. The next prime is 2400253938779. The reversal of 2400253938768 is 8678393520042.

It is an interprime number because it is at equal distance from previous prime (2400253938757) and next prime (2400253938779).

It is a super-2 number, since 2×2400253938768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40579071 + ... + 40638177.

It is an arithmetic number, because the mean of its divisors is an integer number (46629591904).

Almost surely, 2^{2400253938768} is an apocalyptic number.

2400253938768 is a gapful number since it is divisible by the number (28) 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 2400253938768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730367352320).

2400253938768 is an abundant number, since it is smaller than the sum of its proper divisors (5060480765872).

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

2400253938768 is a wasteful number, since it uses less digits than its factorization.

2400253938768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65505 (or 65499 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 2400253938768 in words is "two trillion, four hundred billion, two hundred fifty-three million, nine hundred thirty-eight thousand, seven hundred sixty-eight".