2516040 has 96 divisors (see below), whose sum is σ = 8494200. Its totient is φ = 645120.

The previous prime is 2516021. The next prime is 2516057. The reversal of 2516040 is 406152.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2268036 + 248004 = 1506^2 + 498^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10320 + ... + 10560.

2^2516040 is an apocalyptic number.

2516040 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 2516040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247100).

2516040 is an abundant number, since it is smaller than the sum of its proper divisors (5978160).

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

2516040 is a wasteful number, since it uses less digits than its factorization.

2516040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2516040 is about 1586.2030134885. The cubic root of 2516040 is about 136.0105239838.

It can be divided in two parts, 25160 and 40, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 2516040 in words is "two million, five hundred sixteen thousand, forty".