2415745920 has 128 divisors (see below), whose sum is σ = 8800266240. Its totient is φ = 552167424.

The previous prime is 2415745919. The next prime is 2415745931. The reversal of 2415745920 is 295475142.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76432 + ... + 103311.

It is an arithmetic number, because the mean of its divisors is an integer number (68752080).

Almost surely, 2^2415745920 is an apocalyptic number.

2415745920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2415745920 is an abundant number, since it is smaller than the sum of its proper divisors (6384520320).

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

2415745920 is a wasteful number, since it uses less digits than its factorization.

2415745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179772 (or 179760 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2415745920 is about 49150.2382496769. The cubic root of 2415745920 is about 1341.7875305045.

The spelling of 2415745920 in words is "two billion, four hundred fifteen million, seven hundred forty-five thousand, nine hundred twenty".