2501116002 has 128 divisors (see below), whose sum is σ = 7231057920. Its totient is φ = 621371520.

The previous prime is 2501115983. The next prime is 2501116021. The reversal of 2501116002 is 2006111052.

2501116002 is a `hidden beast` number, since 2 + 50 + 1 + 11 + 600 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2501115983) and next prime (2501116021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82558 + ... + 108710.

It is an arithmetic number, because the mean of its divisors is an integer number (56492640).

Almost surely, 2^2501116002 is an apocalyptic number.

2501116002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501116002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615528960).

2501116002 is an abundant number, since it is smaller than the sum of its proper divisors (4729941918).

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

2501116002 is a wasteful number, since it uses less digits than its factorization.

2501116002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26205 (or 26199 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2501116002 is about 50011.1587748174. The cubic root of 2501116002 is about 1357.4107312868.

Adding to 2501116002 its reverse (2006111052), we get a palindrome (4507227054).

The spelling of 2501116002 in words is "two billion, five hundred one million, one hundred sixteen thousand, two".