2251606017150 has 480 divisors, whose sum is σ = 7653840480000. Its totient is φ = 479295221760.

The previous prime is 2251606017127. The next prime is 2251606017163. The reversal of 2251606017150 is 517106061522.

2251606017150 is a `hidden beast` number, since 2 + 25 + 1 + 606 + 0 + 17 + 15 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31744926 + ... + 31815774.

It is an arithmetic number, because the mean of its divisors is an integer number (15945501000).

Almost surely, 2^{2251606017150} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251606017150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826920240000).

2251606017150 is an abundant number, since it is smaller than the sum of its proper divisors (5402234462850).

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

2251606017150 is a wasteful number, since it uses less digits than its factorization.

2251606017150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70958 (or 70944 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 2251606017150 in words is "two trillion, two hundred fifty-one billion, six hundred six million, seventeen thousand, one hundred fifty".