2458252800 has 300 divisors, whose sum is σ = 9102011556. Its totient is φ = 655257600.

The previous prime is 2458252799. The next prime is 2458252801. The reversal of 2458252800 is 82528542.

2458252800 is a `hidden beast` number, since 24 + 582 + 52 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2458252799) and next prime (2458252801).

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2458252801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1035615 + ... + 1037985.

Almost surely, 2^2458252800 is an apocalyptic number.

2458252800 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 2458252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551005778).

2458252800 is an abundant number, since it is smaller than the sum of its proper divisors (6643758756).

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

2458252800 is an equidigital number, since it uses as much as digits as its factorization.

2458252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 2458252800 is about 49580.7704659780. The cubic root of 2458252800 is about 1349.6117401991.

The spelling of 2458252800 in words is "two billion, four hundred fifty-eight million, two hundred fifty-two thousand, eight hundred".