2667002500 has 60 divisors (see below), whose sum is σ = 6175370124. Its totient is φ = 1004032000.

The previous prime is 2667002497. The next prime is 2667002531. The reversal of 2667002500 is 52007662.

It can be written as a sum of positive squares in 10 ways, for example, as 1649009664 + 1017992836 = 40608^2 + 31906^2 .

It is a super-2 number, since 2×2667002500² = 14225804670012500000, which contains 22 as substring.

It is a congruent number.

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, 11124 + ... + 73876.

Almost surely, 2^2667002500 is an apocalyptic number.

2667002500 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 2667002500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087685062).

2667002500 is an abundant number, since it is smaller than the sum of its proper divisors (3508367624).

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

2667002500 is a wasteful number, since it uses less digits than its factorization.

2667002500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62794 (or 62777 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2667002500 is about 51643.0295393289. The cubic root of 2667002500 is about 1386.7807597147.

The spelling of 2667002500 in words is "two billion, six hundred sixty-seven million, two thousand, five hundred".