2520624240 has 240 divisors, whose sum is σ = 8766313920. Its totient is φ = 648622080.

The previous prime is 2520624163. The next prime is 2520624247. The reversal of 2520624240 is 424260252.

It is a happy number.

2520624240 is a `hidden beast` number, since 2 + 520 + 62 + 42 + 40 = 666.

2520624240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520624247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3040146 + ... + 3040974.

It is an arithmetic number, because the mean of its divisors is an integer number (36526308).

Almost surely, 2^2520624240 is an apocalyptic number.

2520624240 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 2520624240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383156960).

2520624240 is an abundant number, since it is smaller than the sum of its proper divisors (6245689680).

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

2520624240 is a wasteful number, since it uses less digits than its factorization.

2520624240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2520624240 is about 50205.8187862722. The cubic root of 2520624240 is about 1360.9307786351.

Adding to 2520624240 its reverse (424260252), we get a palindrome (2944884492).

The spelling of 2520624240 in words is "two billion, five hundred twenty million, six hundred twenty-four thousand, two hundred forty".