2464139040 has 384 divisors, whose sum is σ = 8966909952. Its totient is φ = 562974720.

The previous prime is 2464139033. The next prime is 2464139053. The reversal of 2464139040 is 409314642.

2464139040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2464138992 and 2464139010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12508222 + ... + 12508418.

It is an arithmetic number, because the mean of its divisors is an integer number (23351328).

Almost surely, 2^2464139040 is an apocalyptic number.

2464139040 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 2464139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483454976).

2464139040 is an abundant number, since it is smaller than the sum of its proper divisors (6502770912).

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

2464139040 is a wasteful number, since it uses less digits than its factorization.

2464139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2464139040 is about 49640.0950845181. The cubic root of 2464139040 is about 1350.6880881828.

The spelling of 2464139040 in words is "two billion, four hundred sixty-four million, one hundred thirty-nine thousand, forty".