2120510474664 has 128 divisors (see below), whose sum is σ = 5592156624000. Its totient is φ = 668212761600.

The previous prime is 2120510474659. The next prime is 2120510474689. The reversal of 2120510474664 is 4664740150212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527356974 + ... + 527360994.

It is an arithmetic number, because the mean of its divisors is an integer number (43688723625).

Almost surely, 2^{2120510474664} is an apocalyptic number.

2120510474664 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 2120510474664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796078312000).

2120510474664 is an abundant number, since it is smaller than the sum of its proper divisors (3471646149336).

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

2120510474664 is a wasteful number, since it uses less digits than its factorization.

2120510474664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6215 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 2120510474664 in words is "two trillion, one hundred twenty billion, five hundred ten million, four hundred seventy-four thousand, six hundred sixty-four".