2452894080 has 512 divisors, whose sum is σ = 9788083200. Its totient is φ = 508723200.

The previous prime is 2452894069. The next prime is 2452894109. The reversal of 2452894080 is 804982542.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 17646651 + ... + 17646789.

It is an arithmetic number, because the mean of its divisors is an integer number (19117350).

Almost surely, 2^2452894080 is an apocalyptic number.

2452894080 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 2452894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894041600).

2452894080 is an abundant number, since it is smaller than the sum of its proper divisors (7335189120).

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

2452894080 is a wasteful number, since it uses less digits than its factorization.

2452894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 2452894080 is about 49526.7006775133. The cubic root of 2452894080 is about 1348.6303585006.

The spelling of 2452894080 in words is "two billion, four hundred fifty-two million, eight hundred ninety-four thousand, eighty".