2116457616 has 160 divisors (see below), whose sum is σ = 6768955648. Its totient is φ = 554895360.

The previous prime is 2116457599. The next prime is 2116457657. The reversal of 2116457616 is 6167546112.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 789270 + ... + 791946.

Almost surely, 2^2116457616 is an apocalyptic number.

2116457616 is a gapful number since it is divisible by the number (26) 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 2116457616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384477824).

2116457616 is an abundant number, since it is smaller than the sum of its proper divisors (4652498032).

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

2116457616 is a wasteful number, since it uses less digits than its factorization.

2116457616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2883 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2116457616 is about 46004.9738180558. The cubic root of 2116457616 is about 1283.9157464538.

The spelling of 2116457616 in words is "two billion, one hundred sixteen million, four hundred fifty-seven thousand, six hundred sixteen".