2461455360 has 528 divisors, whose sum is σ = 10514964096. Its totient is φ = 518455296.

The previous prime is 2461455349. The next prime is 2461455371. The reversal of 2461455360 is 635541642.

2461455360 is a `hidden beast` number, since 2 + 4 + 614 + 5 + 5 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2461455349) and next prime (2461455371).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192987 + ... + 4193573.

Almost surely, 2^2461455360 is an apocalyptic number.

2461455360 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 2461455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5257482048).

2461455360 is an abundant number, since it is smaller than the sum of its proper divisors (8053508736).

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

2461455360 is a wasteful number, since it uses less digits than its factorization.

2461455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2461455360 is about 49613.0563460870. The cubic root of 2461455360 is about 1350.1975677931.

The spelling of 2461455360 in words is "two billion, four hundred sixty-one million, four hundred fifty-five thousand, three hundred sixty".