2252142312000 has 1344 divisors, whose sum is σ = 9008253296640. Its totient is φ = 493807104000.

The previous prime is 2252142311971. The next prime is 2252142312019. The reversal of 2252142312000 is 2132412522.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 5942327811 + ... + 5942328189.

Almost surely, 2^{2252142312000} is an apocalyptic number.

2252142312000 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 2252142312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504126648320).

2252142312000 is an abundant number, since it is smaller than the sum of its proper divisors (6756110984640).

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

2252142312000 is a wasteful number, since it uses less digits than its factorization.

2252142312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 2252142312000 its reverse (2132412522), we get a palindrome (2254274724522).

The spelling of 2252142312000 in words is "two trillion, two hundred fifty-two billion, one hundred forty-two million, three hundred twelve thousand".