2956805460 has 288 divisors, whose sum is σ = 10895189760. Its totient is φ = 634023936.

The previous prime is 2956805459. The next prime is 2956805471. The reversal of 2956805460 is 645086592.

2956805460 is a `hidden beast` number, since 29 + 5 + 6 + 80 + 546 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 2704674 + ... + 2705766.

It is an arithmetic number, because the mean of its divisors is an integer number (37830520).

Almost surely, 2^2956805460 is an apocalyptic number.

2956805460 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 2956805460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447594880).

2956805460 is an abundant number, since it is smaller than the sum of its proper divisors (7938384300).

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

2956805460 is a wasteful number, since it uses less digits than its factorization.

2956805460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2956805460 is about 54376.5157030128. The cubic root of 2956805460 is about 1435.2941579911.

The spelling of 2956805460 in words is "two billion, nine hundred fifty-six million, eight hundred five thousand, four hundred sixty".