2461732560 has 300 divisors, whose sum is σ = 9947156868. Its totient is φ = 562609152.

The previous prime is 2461732547. The next prime is 2461732577. The reversal of 2461732560 is 652371642.

2461732560 is a `hidden beast` number, since 2 + 4 + 61 + 7 + 32 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1900611216 + 561121344 = 43596^2 + 23688^2 .

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 59 ways as a sum of consecutive naturals, for example, 313644 + ... + 321396.

Almost surely, 2^2461732560 is an apocalyptic number.

2461732560 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 2461732560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973578434).

2461732560 is an abundant number, since it is smaller than the sum of its proper divisors (7485424308).

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

2461732560 is a wasteful number, since it uses less digits than its factorization.

2461732560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7792 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2461732560 is about 49615.8498869061. The cubic root of 2461732560 is about 1350.2482506428.

The spelling of 2461732560 in words is "two billion, four hundred sixty-one million, seven hundred thirty-two thousand, five hundred sixty".