2501828316 has 96 divisors (see below), whose sum is σ = 7001120000. Its totient is φ = 768035520.

The previous prime is 2501828299. The next prime is 2501828383. The reversal of 2501828316 is 6138281052.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698811 + ... + 702381.

Almost surely, 2^2501828316 is an apocalyptic number.

2501828316 is a gapful number since it is divisible by the number (26) 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 2501828316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500560000).

2501828316 is an abundant number, since it is smaller than the sum of its proper divisors (4499291684).

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

2501828316 is a wasteful number, since it uses less digits than its factorization.

2501828316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2501828316 is about 50018.2798184824. The cubic root of 2501828316 is about 1357.5395818867.

The spelling of 2501828316 in words is "two billion, five hundred one million, eight hundred twenty-eight thousand, three hundred sixteen".