2461957120 has 176 divisors, whose sum is σ = 6849229248. Its totient is φ = 831651840.

The previous prime is 2461957109. The next prime is 2461957151. The reversal of 2461957120 is 217591642.

It is a super-2 number, since 2×2461957120² = 12122465721437388800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2461957120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2615850 + ... + 2616790.

Almost surely, 2^2461957120 is an apocalyptic number.

2461957120 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 2461957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424614624).

2461957120 is an abundant number, since it is smaller than the sum of its proper divisors (4387272128).

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

2461957120 is an equidigital number, since it uses as much as digits as its factorization.

2461957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2461957120 is about 49618.1128218315. The cubic root of 2461957120 is about 1350.2893060812.

The spelling of 2461957120 in words is "two billion, four hundred sixty-one million, nine hundred fifty-seven thousand, one hundred twenty".