2956401420 has 96 divisors (see below), whose sum is σ = 9471748608. Its totient is φ = 674944512.

The previous prime is 2956401407. The next prime is 2956401467. The reversal of 2956401420 is 241046592.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394024 + ... + 401456.

It is an arithmetic number, because the mean of its divisors is an integer number (98664048).

Almost surely, 2^2956401420 is an apocalyptic number.

2956401420 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 2956401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735874304).

2956401420 is an abundant number, since it is smaller than the sum of its proper divisors (6515347188).

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

2956401420 is a wasteful number, since it uses less digits than its factorization.

2956401420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8399 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2956401420 is about 54372.8003693023. The cubic root of 2956401420 is about 1435.2287785722.

The spelling of 2956401420 in words is "two billion, nine hundred fifty-six million, four hundred one thousand, four hundred twenty".