2010214957104 has 480 divisors, whose sum is σ = 6072344678400. Its totient is φ = 618972088320.

The previous prime is 2010214957063. The next prime is 2010214957111. The reversal of 2010214957104 is 4017594120102.

2010214957104 is a `hidden beast` number, since 20 + 1 + 0 + 21 + 49 + 571 + 0 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9014416737 + ... + 9014416959.

It is an arithmetic number, because the mean of its divisors is an integer number (12650718080).

Almost surely, 2^{2010214957104} is an apocalyptic number.

2010214957104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010214957104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036172339200).

2010214957104 is an abundant number, since it is smaller than the sum of its proper divisors (4062129721296).

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

2010214957104 is a wasteful number, since it uses less digits than its factorization.

2010214957104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 2010214957104 in words is "two trillion, ten billion, two hundred fourteen million, nine hundred fifty-seven thousand, one hundred four".