2450106052164 has 72 divisors (see below), whose sum is σ = 6282199280448. Its totient is φ = 805053403200.

The previous prime is 2450106052111. The next prime is 2450106052171. The reversal of 2450106052164 is 4612506010542.

2450106052164 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 10 + 60 + 521 + 64 = 666.

It is a super-2 number, since 2×2450106052164² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658872 + ... + 2309615.

It is an arithmetic number, because the mean of its divisors is an integer number (87252767784).

Almost surely, 2^{2450106052164} is an apocalyptic number.

It is an amenable number.

2450106052164 is an abundant number, since it is smaller than the sum of its proper divisors (3832093228284).

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

2450106052164 is a wasteful number, since it uses less digits than its factorization.

2450106052164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968825 (or 2968820 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 2450106052164 in words is "two trillion, four hundred fifty billion, one hundred six million, fifty-two thousand, one hundred sixty-four".