2462461560 has 640 divisors, whose sum is σ = 9989179200. Its totient is φ = 537477120.

The previous prime is 2462461549. The next prime is 2462461597. The reversal of 2462461560 is 651642642.

2462461560 is a `hidden beast` number, since 2 + 462 + 46 + 156 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 13604670 + ... + 13604850.

Almost surely, 2^2462461560 is an apocalyptic number.

2462461560 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 2462461560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994589600).

2462461560 is an abundant number, since it is smaller than the sum of its proper divisors (7526717640).

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

2462461560 is a wasteful number, since it uses less digits than its factorization.

2462461560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2462461560 is about 49623.1957858419. The cubic root of 2462461560 is about 1350.3815217981.

The spelling of 2462461560 in words is "two billion, four hundred sixty-two million, four hundred sixty-one thousand, five hundred sixty".