2502488340 has 144 divisors (see below), whose sum is σ = 8505020160. Its totient is φ = 590250240.

The previous prime is 2502488321. The next prime is 2502488371. The reversal of 2502488340 is 438842052.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2502488295 and 2502488304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 56181 + ... + 90339.

It is an arithmetic number, because the mean of its divisors is an integer number (59062640).

Almost surely, 2^2502488340 is an apocalyptic number.

2502488340 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 2502488340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4252510080).

2502488340 is an abundant number, since it is smaller than the sum of its proper divisors (6002531820).

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

2502488340 is a wasteful number, since it uses less digits than its factorization.

2502488340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34222 (or 34217 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2502488340 is about 50024.8772112436. The cubic root of 2502488340 is about 1357.6589519112.

The spelling of 2502488340 in words is "two billion, five hundred two million, four hundred eighty-eight thousand, three hundred forty".