2500213500 has 384 divisors, whose sum is σ = 8533324800. Its totient is φ = 631411200.

The previous prime is 2500213481. The next prime is 2500213523. The reversal of 2500213500 is 53120052.

It is a happy number.

2500213500 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 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 127 ways as a sum of consecutive naturals, for example, 34249464 + ... + 34249536.

It is an arithmetic number, because the mean of its divisors is an integer number (22222200).

Almost surely, 2^2500213500 is an apocalyptic number.

2500213500 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 2500213500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266662400).

2500213500 is an abundant number, since it is smaller than the sum of its proper divisors (6033111300).

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

2500213500 is a wasteful number, since it uses less digits than its factorization.

2500213500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2500213500 is about 50002.1349544197. The cubic root of 2500213500 is about 1357.2474424084.

Adding to 2500213500 its reverse (53120052), we get a palindrome (2553333552).

It can be divided in two parts, 2500 and 213500, that added together give a cube (216000 = 60³).

The spelling of 2500213500 in words is "two billion, five hundred million, two hundred thirteen thousand, five hundred".