2453640 has 128 divisors (see below), whose sum is σ = 8847360. Its totient is φ = 532224.

The previous prime is 2453629. The next prime is 2453651. The reversal of 2453640 is 463542.

2453640 = T₂₂₉ + T₂₃₀ + ... + T₂₉₈.

It is an interprime number because it is at equal distance from previous prime (2453629) and next prime (2453651).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2453640.

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, 19257 + ... + 19383.

It is an arithmetic number, because the mean of its divisors is an integer number (69120).

2^2453640 is an apocalyptic number.

2453640 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 2453640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423680).

2453640 is an abundant number, since it is smaller than the sum of its proper divisors (6393720).

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

2453640 is a wasteful number, since it uses less digits than its factorization.

2453640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2453640 is about 1566.4099080381. The cubic root of 2453640 is about 134.8767049877.

The spelling of 2453640 in words is "two million, four hundred fifty-three thousand, six hundred forty".