2442552000 has 672 divisors, whose sum is σ = 9829287936. Its totient is φ = 532224000.

The previous prime is 2442551989. The next prime is 2442552001. The reversal of 2442552000 is 2552442.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2442552001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36455967 + ... + 36456033.

Almost surely, 2^2442552000 is an apocalyptic number.

2442552000 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 2442552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914643968).

2442552000 is an abundant number, since it is smaller than the sum of its proper divisors (7386735936).

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

2442552000 is a wasteful number, since it uses less digits than its factorization.

2442552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2442552000 is about 49422.1812549790. The cubic root of 2442552000 is about 1346.7322888433.

The spelling of 2442552000 in words is "two billion, four hundred forty-two million, five hundred fifty-two thousand".