2465640 has 80 divisors (see below), whose sum is σ = 8298180. Its totient is φ = 656640.

The previous prime is 2465633. The next prime is 2465641. The reversal of 2465640 is 465642.

It is a happy number.

2465640 is a `hidden beast` number, since 2 + 4 + 656 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 443556 = 1422^2 + 666^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2465641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2860 + ... + 3620.

2^2465640 is an apocalyptic number.

2465640 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 2465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149090).

2465640 is an abundant number, since it is smaller than the sum of its proper divisors (5832540).

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

2465640 is a wasteful number, since it uses less digits than its factorization.

2465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2465640 is about 1570.2356511046. The cubic root of 2465640 is about 135.0962276891.

It can be divided in two parts, 246 and 5640, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 2465640 in words is "two million, four hundred sixty-five thousand, six hundred forty".