2452766400 has 336 divisors, whose sum is σ = 10219822080. Its totient is φ = 560563200.

The previous prime is 2452766399. The next prime is 2452766401. The reversal of 2452766400 is 46672542.

2452766400 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 7 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2452766399) and next prime (2452766401).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (2452766401) by changing a digit.

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, 298345 + ... + 306455.

Almost surely, 2^2452766400 is an apocalyptic number.

2452766400 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 2452766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109911040).

2452766400 is an abundant number, since it is smaller than the sum of its proper divisors (7767055680).

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

2452766400 is a wasteful number, since it uses less digits than its factorization.

2452766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2452766400 is about 49525.4116590665. The cubic root of 2452766400 is about 1348.6069581001.

The spelling of 2452766400 in words is "two billion, four hundred fifty-two million, seven hundred sixty-six thousand, four hundred".