2252151534204 has 288 divisors, whose sum is σ = 7084583460864. Its totient is φ = 592668149760.

The previous prime is 2252151534179. The next prime is 2252151534209. The reversal of 2252151534204 is 4024351512522.

2252151534204 is a `hidden beast` number, since 2 + 2 + 5 + 215 + 15 + 3 + 420 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252151534209) 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, 317066917 + ... + 317074019.

It is an arithmetic number, because the mean of its divisors is an integer number (24599248128).

Almost surely, 2^{2252151534204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252151534204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542291730432).

2252151534204 is an abundant number, since it is smaller than the sum of its proper divisors (4832431926660).

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

2252151534204 is a wasteful number, since it uses less digits than its factorization.

2252151534204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10777 (or 10772 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2252151534204 in words is "two trillion, two hundred fifty-two billion, one hundred fifty-one million, five hundred thirty-four thousand, two hundred four".