2512640 has 72 divisors (see below), whose sum is σ = 6524448. Its totient is φ = 921600.

The previous prime is 2512639. The next prime is 2512649. The reversal of 2512640 is 462152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16565 + ... + 16715.

2^2512640 is an apocalyptic number.

2512640 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 2512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3262224).

2512640 is an abundant number, since it is smaller than the sum of its proper divisors (4011808).

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

2512640 is a wasteful number, since it uses less digits than its factorization.

2512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2512640 is about 1585.1309094204. The cubic root of 2512640 is about 135.9492313388.

Adding to 2512640 its reverse (462152), we get a palindrome (2974792).

The spelling of 2512640 in words is "two million, five hundred twelve thousand, six hundred forty".