2920464 has 60 divisors (see below), whose sum is σ = 8661276. Its totient is φ = 915456.

The previous prime is 2920457. The next prime is 2920469. The reversal of 2920464 is 4640292.

It can be written as a sum of positive squares in 2 ways, for example, as 1904400 + 1016064 = 1380^2 + 1008^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2920469) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1852 + ... + 3044.

2^2920464 is an apocalyptic number.

2920464 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 2920464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330638).

2920464 is an abundant number, since it is smaller than the sum of its proper divisors (5740812).

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

2920464 is a wasteful number, since it uses less digits than its factorization.

2920464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2920464 is about 1708.9365114012. The cubic root of 2920464 is about 142.9389603704.

The spelling of 2920464 in words is "two million, nine hundred twenty thousand, four hundred sixty-four".