2452388064 has 288 divisors, whose sum is σ = 8232295680. Its totient is φ = 634411008.

The previous prime is 2452388051. The next prime is 2452388089. The reversal of 2452388064 is 4608832542.

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 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, 2055052 + ... + 2056244.

It is an arithmetic number, because the mean of its divisors is an integer number (28584360).

Almost surely, 2^2452388064 is an apocalyptic number.

2452388064 is a gapful number since it is divisible by the number (24) 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 2452388064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116147840).

2452388064 is an abundant number, since it is smaller than the sum of its proper divisors (5779907616).

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

2452388064 is a wasteful number, since it uses less digits than its factorization.

2452388064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2452388064 is about 49521.5918968686. The cubic root of 2452388064 is about 1348.5376142497.

The spelling of 2452388064 in words is "two billion, four hundred fifty-two million, three hundred eighty-eight thousand, sixty-four".