2502212240 has 120 divisors (see below), whose sum is σ = 6484027704. Its totient is φ = 897177600.

The previous prime is 2502212221. The next prime is 2502212261. The reversal of 2502212240 is 422122052.

It can be written as a sum of positive squares in 4 ways, for example, as 239878144 + 2262334096 = 15488^2 + 47564^2 .

It is a super-2 number, since 2×2502212240² = 12522132188011635200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704870 + ... + 708410.

Almost surely, 2^2502212240 is an apocalyptic number.

2502212240 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 2502212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242013852).

2502212240 is an abundant number, since it is smaller than the sum of its proper divisors (3981815464).

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

2502212240 is a wasteful number, since it uses less digits than its factorization.

2502212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3632 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2502212240 is about 50022.1175081583. The cubic root of 2502212240 is about 1357.6090198207.

Adding to 2502212240 its reverse (422122052), we get a palindrome (2924334292).

The spelling of 2502212240 in words is "two billion, five hundred two million, two hundred twelve thousand, two hundred forty".