2122648416 has 120 divisors (see below), whose sum is σ = 7134518160. Its totient is φ = 606465792.

The previous prime is 2122648379. The next prime is 2122648453. The reversal of 2122648416 is 6148462212.

2122648416 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 648 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2122648379) and next prime (2122648453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40351 + ... + 76638.

It is an arithmetic number, because the mean of its divisors is an integer number (59454318).

Almost surely, 2^2122648416 is an apocalyptic number.

It is an amenable number.

2122648416 is an abundant number, since it is smaller than the sum of its proper divisors (5011869744).

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

2122648416 is a wasteful number, since it uses less digits than its factorization.

2122648416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117018 (or 117001 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2122648416 is about 46072.2087163183. The cubic root of 2122648416 is about 1285.1663783519.

The spelling of 2122648416 in words is "two billion, one hundred twenty-two million, six hundred forty-eight thousand, four hundred sixteen".