2515640 has 32 divisors (see below), whose sum is σ = 5758560. Its totient is φ = 988800.

The previous prime is 2515633. The next prime is 2515651. The reversal of 2515640 is 465152.

2515640 = T₁₃₉ + T₁₄₀ + ... + T₂₆₀.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1925 + ... + 2955.

It is an arithmetic number, because the mean of its divisors is an integer number (179955).

2^2515640 is an apocalyptic number.

2515640 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 2515640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879280).

2515640 is an abundant number, since it is smaller than the sum of its proper divisors (3242920).

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

2515640 is a wasteful number, since it uses less digits than its factorization.

2515640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2515640 is about 1586.0769212116. The cubic root of 2515640 is about 136.0033159514.

The spelling of 2515640 in words is "two million, five hundred fifteen thousand, six hundred forty".