2452768500 has 576 divisors, whose sum is σ = 9536776704. Its totient is φ = 483840000.

The previous prime is 2452768499. The next prime is 2452768511. The reversal of 2452768500 is 58672542.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16243425 + ... + 16243575.

It is an arithmetic number, because the mean of its divisors is an integer number (16556904).

Almost surely, 2^2452768500 is an apocalyptic number.

2452768500 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 2452768500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768388352).

2452768500 is an abundant number, since it is smaller than the sum of its proper divisors (7084008204).

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

2452768500 is a wasteful number, since it uses less digits than its factorization.

2452768500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2452768500 is about 49525.4328602992. The cubic root of 2452768500 is about 1348.6073429816.

The spelling of 2452768500 in words is "two billion, four hundred fifty-two million, seven hundred sixty-eight thousand, five hundred".