2460138720 has 192 divisors, whose sum is σ = 8424440640. Its totient is φ = 599851008.

The previous prime is 2460138691. The next prime is 2460138727. The reversal of 2460138720 is 278310642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2460138727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678352 + ... + 681968.

It is an arithmetic number, because the mean of its divisors is an integer number (43877295).

Almost surely, 2^2460138720 is an apocalyptic number.

2460138720 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 2460138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212220320).

2460138720 is an abundant number, since it is smaller than the sum of its proper divisors (5964301920).

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

2460138720 is a wasteful number, since it uses less digits than its factorization.

2460138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3757 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2460138720 is about 49599.7854834071. The cubic root of 2460138720 is about 1349.9567832530.

The spelling of 2460138720 in words is "two billion, four hundred sixty million, one hundred thirty-eight thousand, seven hundred twenty".