2470466880 has 672 divisors, whose sum is σ = 10346618880. Its totient is φ = 529182720.

The previous prime is 2470466861. The next prime is 2470466891. The reversal of 2470466880 is 886640742.

2470466880 is a `hidden beast` number, since 2 + 470 + 46 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×2470466880³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 36872607 + ... + 36872673.

Almost surely, 2^2470466880 is an apocalyptic number.

2470466880 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 2470466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173309440).

2470466880 is an abundant number, since it is smaller than the sum of its proper divisors (7876152000).

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

2470466880 is a wasteful number, since it uses less digits than its factorization.

2470466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2470466880 is about 49703.7914046806. The cubic root of 2470466880 is about 1351.8432763025.

The spelling of 2470466880 in words is "two billion, four hundred seventy million, four hundred sixty-six thousand, eight hundred eighty".