2116436742 has 64 divisors (see below), whose sum is σ = 5386583040. Its totient is φ = 603402048.

The previous prime is 2116436713. The next prime is 2116436767. The reversal of 2116436742 is 2476346112.

2116436742 is a `hidden beast` number, since 2 + 1 + 1 + 643 + 6 + 7 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2116436697 and 2116436706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178338 + ... + 189834.

It is an arithmetic number, because the mean of its divisors is an integer number (84165360).

Almost surely, 2^2116436742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116436742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693291520).

2116436742 is an abundant number, since it is smaller than the sum of its proper divisors (3270146298).

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

2116436742 is a wasteful number, since it uses less digits than its factorization.

2116436742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12002 (or 11996 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2116436742 is about 46004.7469507224. The cubic root of 2116436742 is about 1283.9115254786.

The spelling of 2116436742 in words is "two billion, one hundred sixteen million, four hundred thirty-six thousand, seven hundred forty-two".