2464573440 has 384 divisors, whose sum is σ = 9192718080. Its totient is φ = 552075264.

The previous prime is 2464573403. The next prime is 2464573459. The reversal of 2464573440 is 443754642.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15697842 + ... + 15697998.

It is an arithmetic number, because the mean of its divisors is an integer number (23939370).

Almost surely, 2^2464573440 is an apocalyptic number.

2464573440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2464573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596359040).

2464573440 is an abundant number, since it is smaller than the sum of its proper divisors (6728144640).

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

2464573440 is a wasteful number, since it uses less digits than its factorization.

2464573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The square root of 2464573440 is about 49644.4703869424. The cubic root of 2464573440 is about 1350.7674538924.

The spelling of 2464573440 in words is "two billion, four hundred sixty-four million, five hundred seventy-three thousand, four hundred forty".