2640057024 has 336 divisors, whose sum is σ = 8495141760. Its totient is φ = 715038720.

The previous prime is 2640057023. The next prime is 2640057029. The reversal of 2640057024 is 4207500462.

It is a junction number, because it is equal to n+sod(n) for n = 2640056982 and 2640057000.

It is not an unprimeable number, because it can be changed into a prime (2640057023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 18993147 + ... + 18993285.

It is an arithmetic number, because the mean of its divisors is an integer number (25283160).

Almost surely, 2^2640057024 is an apocalyptic number.

2640057024 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 2640057024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247570880).

2640057024 is an abundant number, since it is smaller than the sum of its proper divisors (5855084736).

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

2640057024 is a wasteful number, since it uses less digits than its factorization.

2640057024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2640057024 is about 51381.4852257114. The cubic root of 2640057024 is about 1382.0945969400.

Adding to 2640057024 its reverse (4207500462), we get a palindrome (6847557486).

The spelling of 2640057024 in words is "two billion, six hundred forty million, fifty-seven thousand, twenty-four".