2515140 has 72 divisors (see below), whose sum is σ = 7764120. Its totient is φ = 658944.

The previous prime is 2515127. The next prime is 2515147. The reversal of 2515140 is 415152.

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 2509056 = 78^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2515147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15942 + ... + 16098.

It is an arithmetic number, because the mean of its divisors is an integer number (107835).

2^2515140 is an apocalyptic number.

2515140 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 2515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882060).

2515140 is an abundant number, since it is smaller than the sum of its proper divisors (5248980).

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

2515140 is a wasteful number, since it uses less digits than its factorization.

2515140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2515140 is about 1585.9192917674. The cubic root of 2515140 is about 135.9943048365.

The spelling of 2515140 in words is "two million, five hundred fifteen thousand, one hundred forty".