2401152000 has 528 divisors, whose sum is σ = 8882538912. Its totient is φ = 575078400.

The previous prime is 2401151993. The next prime is 2401152049. The reversal of 2401152000 is 2511042.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 64895982 + ... + 64896018.

Almost surely, 2^2401152000 is an apocalyptic number.

2401152000 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 2401152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441269456).

2401152000 is an abundant number, since it is smaller than the sum of its proper divisors (6481386912).

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

2401152000 is a wasteful number, since it uses less digits than its factorization.

2401152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2401152000 is about 49001.5509958613. The cubic root of 2401152000 is about 1339.0800844425.

Adding to 2401152000 its reverse (2511042), we get a palindrome (2403663042).

The spelling of 2401152000 in words is "two billion, four hundred one million, one hundred fifty-two thousand".