2646412416 has 96 divisors (see below), whose sum is σ = 8016200400. Its totient is φ = 835702272.

The previous prime is 2646412399. The next prime is 2646412441. The reversal of 2646412416 is 6142146462.

2646412416 is a `hidden beast` number, since 2 + 6 + 4 + 641 + 2 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38566 + ... + 82341.

Almost surely, 2^2646412416 is an apocalyptic number.

It is an amenable number.

2646412416 is an abundant number, since it is smaller than the sum of its proper divisors (5369787984).

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

2646412416 is a wasteful number, since it uses less digits than its factorization.

2646412416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120946 (or 120931 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2646412416 is about 51443.2932071811. The cubic root of 2646412416 is about 1383.2027439635.

Adding to 2646412416 its reverse (6142146462), we get a palindrome (8788558878).

The spelling of 2646412416 in words is "two billion, six hundred forty-six million, four hundred twelve thousand, four hundred sixteen".