2956464 has 90 divisors (see below), whose sum is σ = 9647820. Its totient is φ = 842688.

The previous prime is 2956451. The next prime is 2956477. The reversal of 2956464 is 4646592.

2956464 = T₁₉₅ + T₁₉₆ + ... + T₂₉₂.

2956464 is a `hidden beast` number, since 2 + 9 + 5 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2956451) and next prime (2956477).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6847 + ... + 7265.

It is an arithmetic number, because the mean of its divisors is an integer number (107198).

2^2956464 is an apocalyptic number.

2956464 is a gapful number since it is divisible by the number (24) 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 2956464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823910).

2956464 is an abundant number, since it is smaller than the sum of its proper divisors (6691356).

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

2956464 is a wasteful number, since it uses less digits than its factorization.

2956464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2956464 is about 1719.4371171985. The cubic root of 2956464 is about 143.5238905296.

The spelling of 2956464 in words is "two million, nine hundred fifty-six thousand, four hundred sixty-four".