2100396416742 has 96 divisors (see below), whose sum is σ = 4986540468000. Its totient is φ = 635051736576.

The previous prime is 2100396416719. The next prime is 2100396416743. The reversal of 2100396416742 is 2476146930012.

2100396416742 is a `hidden beast` number, since 2 + 100 + 3 + 96 + 416 + 7 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100396416743) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4366509 + ... + 4823607.

It is an arithmetic number, because the mean of its divisors is an integer number (51943129875).

Almost surely, 2^{2100396416742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100396416742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493270234000).

2100396416742 is an abundant number, since it is smaller than the sum of its proper divisors (2886144051258).

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

2100396416742 is a wasteful number, since it uses less digits than its factorization.

2100396416742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457462 (or 457459 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2100396416742 in words is "two trillion, one hundred billion, three hundred ninety-six million, four hundred sixteen thousand, seven hundred forty-two".