2251266110016 has 224 divisors, whose sum is σ = 7433634843648. Its totient is φ = 584163317760.

The previous prime is 2251266110003. The next prime is 2251266110077. The reversal of 2251266110016 is 6100116621522.

It is a tau number, because it is divible by the number of its divisors (224).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14901031 + ... + 15051353.

Almost surely, 2^{2251266110016} 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 2251266110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716817421824).

2251266110016 is an abundant number, since it is smaller than the sum of its proper divisors (5182368733632).

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

2251266110016 is a wasteful number, since it uses less digits than its factorization.

2251266110016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151369 (or 151359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 2251266110016 in words is "two trillion, two hundred fifty-one billion, two hundred sixty-six million, one hundred ten thousand, sixteen".