2120052695640 has 256 divisors, whose sum is σ = 7067765652480. Its totient is φ = 504454594560.

The previous prime is 2120052695633. The next prime is 2120052695671. The reversal of 2120052695640 is 465962500212.

It is a junction number, because it is equal to n+sod(n) for n = 2120052695592 and 2120052695601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15294484 + ... + 15432476.

It is an arithmetic number, because the mean of its divisors is an integer number (27608459580).

Almost surely, 2^{2120052695640} is an apocalyptic number.

2120052695640 is a gapful number since it is divisible by the number (20) 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 2120052695640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3533882826240).

2120052695640 is an abundant number, since it is smaller than the sum of its proper divisors (4947712956840).

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

2120052695640 is a wasteful number, since it uses less digits than its factorization.

2120052695640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138234 (or 138230 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 2120052695640 in words is "two trillion, one hundred twenty billion, fifty-two million, six hundred ninety-five thousand, six hundred forty".