2452896000 has 576 divisors, whose sum is σ = 9642447360. Its totient is φ = 611942400.

The previous prime is 2452895989. The next prime is 2452896073. The reversal of 2452896000 is 6982542.

It is a happy number.

2452896000 is a `hidden beast` number, since 2 + 45 + 2 + 8 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14687917 + ... + 14688083.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 2^2452896000 is an apocalyptic number.

2452896000 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 2452896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821223680).

2452896000 is an abundant number, since it is smaller than the sum of its proper divisors (7189551360).

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

2452896000 is a wasteful number, since it uses less digits than its factorization.

2452896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2452896000 is about 49526.7200609933. The cubic root of 2452896000 is about 1348.6307103801.

The spelling of 2452896000 in words is "two billion, four hundred fifty-two million, eight hundred ninety-six thousand".