2956470720 has 224 divisors, whose sum is σ = 10865510400. Its totient is φ = 667090944.

The previous prime is 2956470701. The next prime is 2956470733. The reversal of 2956470720 is 270746592.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×2956470720⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528096 + ... + 533664.

Almost surely, 2^2956470720 is an apocalyptic number.

2956470720 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 2956470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5432755200).

2956470720 is an abundant number, since it is smaller than the sum of its proper divisors (7909039680).

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

2956470720 is a wasteful number, since it uses less digits than its factorization.

2956470720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 2956470720 is about 54373.4376327265. The cubic root of 2956470720 is about 1435.2399927211.

The spelling of 2956470720 in words is "two billion, nine hundred fifty-six million, four hundred seventy thousand, seven hundred twenty".