2413762500 has 144 divisors (see below), whose sum is σ = 7097545728. Its totient is φ = 638400000.

The previous prime is 2413762471. The next prime is 2413762501. The reversal of 2413762500 is 52673142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2413762501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7162332 + ... + 7162668.

It is an arithmetic number, because the mean of its divisors is an integer number (49288512).

Almost surely, 2^2413762500 is an apocalyptic number.

2413762500 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 2413762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548772864).

2413762500 is an abundant number, since it is smaller than the sum of its proper divisors (4683783228).

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

2413762500 is a wasteful number, since it uses less digits than its factorization.

2413762500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2413762500 is about 49130.0569916217. The cubic root of 2413762500 is about 1341.4202102930.

The spelling of 2413762500 in words is "two billion, four hundred thirteen million, seven hundred sixty-two thousand, five hundred".