2405016768 has 112 divisors (see below), whose sum is σ = 7933480704. Its totient is φ = 624675840.

The previous prime is 2405016727. The next prime is 2405016769. The reversal of 2405016768 is 8676105042.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2405016768² = 11568211308722331648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2405016769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66555 + ... + 96122.

Almost surely, 2^2405016768 is an apocalyptic number.

2405016768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2405016768 is an abundant number, since it is smaller than the sum of its proper divisors (5528463936).

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

2405016768 is a wasteful number, since it uses less digits than its factorization.

2405016768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162710 (or 162700 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2405016768 is about 49040.9703003519. The cubic root of 2405016768 is about 1339.7981369642.

The spelling of 2405016768 in words is "two billion, four hundred five million, sixteen thousand, seven hundred sixty-eight".