2502213120 has 400 divisors, whose sum is σ = 9785788848. Its totient is φ = 606044160.

The previous prime is 2502213071. The next prime is 2502213121. The reversal of 2502213120 is 213122052.

It is a super-2 number, since 2×2502213120² = 12522140995800268800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2502213093 and 2502213102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502213121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280412 + ... + 2281508.

Almost surely, 2^2502213120 is an apocalyptic number.

2502213120 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 2502213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892894424).

2502213120 is an abundant number, since it is smaller than the sum of its proper divisors (7283575728).

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

2502213120 is a wasteful number, since it uses less digits than its factorization.

2502213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1118 counting only the distinct ones).

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

The square root of 2502213120 is about 50022.1263042666. The cubic root of 2502213120 is about 1357.6091789726.

Adding to 2502213120 its reverse (213122052), we get a palindrome (2715335172).

The spelling of 2502213120 in words is "two billion, five hundred two million, two hundred thirteen thousand, one hundred twenty".