2487088100 has 216 divisors, whose sum is σ = 6754958280. Its totient is φ = 789626880.

The previous prime is 2487088099. The next prime is 2487088103. The reversal of 2487088100 is 18807842.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 29506624 + 2457581476 = 5432^2 + 49574^2 .

It is a super-2 number, since 2×2487088100² = 12371214434323220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2487088103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6080696 + ... + 6081104.

It is an arithmetic number, because the mean of its divisors is an integer number (31272955).

Almost surely, 2^2487088100 is an apocalyptic number.

2487088100 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 2487088100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3377479140).

2487088100 is an abundant number, since it is smaller than the sum of its proper divisors (4267870180).

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

2487088100 is a wasteful number, since it uses less digits than its factorization.

2487088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 2487088100 is about 49870.7138509166. The cubic root of 2487088100 is about 1354.8682215495.

The spelling of 2487088100 in words is "two billion, four hundred eighty-seven million, eighty-eight thousand, one hundred".