2461953120 has 576 divisors, whose sum is σ = 9459555840. Its totient is φ = 535265280.

The previous prime is 2461953113. The next prime is 2461953149. The reversal of 2461953120 is 213591642.

It is a super-2 number, since 2×2461953120² = 12122426330155468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25380912 + ... + 25381008.

It is an arithmetic number, because the mean of its divisors is an integer number (16422840).

Almost surely, 2^2461953120 is an apocalyptic number.

2461953120 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 2461953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729777920).

2461953120 is an abundant number, since it is smaller than the sum of its proper divisors (6997602720).

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

2461953120 is a wasteful number, since it uses less digits than its factorization.

2461953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2461953120 is about 49618.0725139540. The cubic root of 2461953120 is about 1350.2885747985.

The spelling of 2461953120 in words is "two billion, four hundred sixty-one million, nine hundred fifty-three thousand, one hundred twenty".