2478749631624 has 480 divisors, whose sum is σ = 8184190972320. Its totient is φ = 701699894784.

The previous prime is 2478749631623. The next prime is 2478749631629. The reversal of 2478749631624 is 4261369478742.

2478749631624 is a `hidden beast` number, since 2 + 4 + 7 + 87 + 496 + 3 + 1 + 62 + 4 = 666.

It is a super-2 number, since 2×2478749631624² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2478749631623) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 871876747 + ... + 871879589.

It is an arithmetic number, because the mean of its divisors is an integer number (17050397859).

Almost surely, 2^{2478749631624} is an apocalyptic number.

2478749631624 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 2478749631624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092095486160).

2478749631624 is an abundant number, since it is smaller than the sum of its proper divisors (5705441340696).

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

2478749631624 is an equidigital number, since it uses as much as digits as its factorization.

2478749631624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2968 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 2478749631624 in words is "two trillion, four hundred seventy-eight billion, seven hundred forty-nine million, six hundred thirty-one thousand, six hundred twenty-four".