2124513016164 has 288 divisors, whose sum is σ = 7099862305536. Its totient is φ = 518586531840.

The previous prime is 2124513016163. The next prime is 2124513016169. The reversal of 2124513016164 is 4616103154212.

2124513016164 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 5 + 1 + 30 + 1 + 616 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2124513016163) 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, 31869652 + ... + 31936244.

It is an arithmetic number, because the mean of its divisors is an integer number (24652299672).

Almost surely, 2^{2124513016164} 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 2124513016164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549931152768).

2124513016164 is an abundant number, since it is smaller than the sum of its proper divisors (4975349289372).

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

2124513016164 is a wasteful number, since it uses less digits than its factorization.

2124513016164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67315 (or 67310 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2124513016164 in words is "two trillion, one hundred twenty-four billion, five hundred thirteen million, sixteen thousand, one hundred sixty-four".