2471202961920 has 1920 divisors, whose sum is σ = 11304284479488. Its totient is φ = 483685171200.

The previous prime is 2471202961907. The next prime is 2471202962027. The reversal of 2471202961920 is 291692021742.

2471202961920 is a `hidden beast` number, since 2 + 4 + 7 + 1 + 2 + 0 + 2 + 9 + 619 + 20 = 666.

2471202961920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2471202961920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2897072214 + ... + 2897073066.

Almost surely, 2^{2471202961920} is an apocalyptic number.

2471202961920 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 2471202961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652142239744).

2471202961920 is an abundant number, since it is smaller than the sum of its proper divisors (8833081517568).

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

2471202961920 is a wasteful number, since it uses less digits than its factorization.

2471202961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2471202961920 in words is "two trillion, four hundred seventy-one billion, two hundred two million, nine hundred sixty-one thousand, nine hundred twenty".