2584870380 has 120 divisors (see below), whose sum is σ = 8126443248. Its totient is φ = 687802752.

The previous prime is 2584870313. The next prime is 2584870403. The reversal of 2584870380 is 830784852.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 884682 + ... + 887598.

Almost surely, 2^2584870380 is an apocalyptic number.

2584870380 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 2584870380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063221624).

2584870380 is an abundant number, since it is smaller than the sum of its proper divisors (5541572868).

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

2584870380 is a wasteful number, since it uses less digits than its factorization.

2584870380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2584870380 is about 50841.6205485230. The cubic root of 2584870380 is about 1372.3964626725.

The spelling of 2584870380 in words is "two billion, five hundred eighty-four million, eight hundred seventy thousand, three hundred eighty".