2552001144000 has 672 divisors, whose sum is σ = 10693687080960. Its totient is φ = 530283264000.

The previous prime is 2552001143969. The next prime is 2552001144023. The reversal of 2552001144000 is 4411002552.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12837361 + ... + 13034639.

Almost surely, 2^{2552001144000} is an apocalyptic number.

2552001144000 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 2552001144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346843540480).

2552001144000 is an abundant number, since it is smaller than the sum of its proper divisors (8141685936960).

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

2552001144000 is a wasteful number, since it uses less digits than its factorization.

2552001144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197334 (or 197307 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 2552001144000 its reverse (4411002552), we get a palindrome (2556412146552).

The spelling of 2552001144000 in words is "two trillion, five hundred fifty-two billion, one million, one hundred forty-four thousand".