2602464 has 24 divisors (see below), whose sum is σ = 6831720. Its totient is φ = 867456.

The previous prime is 2602463. The next prime is 2602477. The reversal of 2602464 is 4642062.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2602463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13459 + ... + 13650.

It is an arithmetic number, because the mean of its divisors is an integer number (284655).

2^2602464 is an apocalyptic number.

2602464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2602464 is an abundant number, since it is smaller than the sum of its proper divisors (4229256).

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

2602464 is a wasteful number, since it uses less digits than its factorization.

2602464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27122 (or 27114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2602464 is about 1613.2154226885. The cubic root of 2602464 is about 137.5503110656.

The spelling of 2602464 in words is "two million, six hundred two thousand, four hundred sixty-four".