2464145280 has 128 divisors (see below), whose sum is σ = 8727242400. Its totient is φ = 657100800.

The previous prime is 2464145279. The next prime is 2464145297. The reversal of 2464145280 is 825414642.

2464145280 is a `hidden beast` number, since 2 + 4 + 641 + 4 + 5 + 2 + 8 + 0 = 666.

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

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

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, 54021 + ... + 88580.

Almost surely, 2^2464145280 is an apocalyptic number.

2464145280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2464145280 is an abundant number, since it is smaller than the sum of its proper divisors (6263097120).

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

2464145280 is a wasteful number, since it uses less digits than its factorization.

2464145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142629 (or 142611 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2464145280 is about 49640.1579368962. The cubic root of 2464145280 is about 1350.6892283088.

The spelling of 2464145280 in words is "two billion, four hundred sixty-four million, one hundred forty-five thousand, two hundred eighty".