2120466788352 has 624 divisors, whose sum is σ = 6947079354880. Its totient is φ = 638668800000.

The previous prime is 2120466788333. The next prime is 2120466788411. The reversal of 2120466788352 is 2538876640212.

2120466788352 is a `hidden beast` number, since 2 + 1 + 204 + 6 + 6 + 7 + 88 + 352 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2823523977 + ... + 2823524727.

Almost surely, 2^{2120466788352} is an apocalyptic number.

2120466788352 is a gapful number since it is divisible by the number (22) 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 2120466788352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473539677440).

2120466788352 is an abundant number, since it is smaller than the sum of its proper divisors (4826612566528).

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

2120466788352 is a wasteful number, since it uses less digits than its factorization.

2120466788352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 2120466788352 in words is "two trillion, one hundred twenty billion, four hundred sixty-six million, seven hundred eighty-eight thousand, three hundred fifty-two".