2461339344 has 160 divisors (see below), whose sum is σ = 6874560000. Its totient is φ = 756490752.

The previous prime is 2461339337. The next prime is 2461339351. The reversal of 2461339344 is 4439331642.

It is an interprime number because it is at equal distance from previous prime (2461339337) and next prime (2461339351).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8017239 + ... + 8017545.

It is an arithmetic number, because the mean of its divisors is an integer number (42966000).

Almost surely, 2^2461339344 is an apocalyptic number.

2461339344 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 2461339344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280000).

2461339344 is an abundant number, since it is smaller than the sum of its proper divisors (4413220656).

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

2461339344 is a wasteful number, since it uses less digits than its factorization.

2461339344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 2461339344 is about 49611.8871239545. The cubic root of 2461339344 is about 1350.1763544647.

The spelling of 2461339344 in words is "two billion, four hundred sixty-one million, three hundred thirty-nine thousand, three hundred forty-four".