2578740000 has 120 divisors (see below), whose sum is σ = 8458979760. Its totient is φ = 687648000.

The previous prime is 2578739993. The next prime is 2578740029. The reversal of 2578740000 is 478752.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38511 + ... + 81489.

It is an arithmetic number, because the mean of its divisors is an integer number (70491498).

Almost surely, 2^2578740000 is an apocalyptic number.

2578740000 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 2578740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4229489880).

2578740000 is an abundant number, since it is smaller than the sum of its proper divisors (5880239760).

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

2578740000 is an equidigital number, since it uses as much as digits as its factorization.

2578740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43012 (or 42989 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 2578740000 is about 50781.2957692101. The cubic root of 2578740000 is about 1371.3106607457.

The spelling of 2578740000 in words is "two billion, five hundred seventy-eight million, seven hundred forty thousand".