2615828000 has 96 divisors (see below), whose sum is σ = 6505349760. Its totient is φ = 1033593600.

The previous prime is 2615827931. The next prime is 2615828027. The reversal of 2615828000 is 8285162.

2615828000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2615828000² = 13685112251168000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 328061 + ... + 335939.

It is an arithmetic number, because the mean of its divisors is an integer number (67764060).

Almost surely, 2^2615828000 is an apocalyptic number.

2615828000 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 2615828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252674880).

2615828000 is an abundant number, since it is smaller than the sum of its proper divisors (3889521760).

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

2615828000 is an equidigital number, since it uses as much as digits as its factorization.

2615828000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7987 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2615828000 is about 51145.1659494815. The cubic root of 2615828000 is about 1377.8535559739.

The spelling of 2615828000 in words is "two billion, six hundred fifteen million, eight hundred twenty-eight thousand".