2087100302400 has 315 divisors, whose sum is σ = 7673567892991. Its totient is φ = 556421391360.

The previous prime is 2087100302369. The next prime is 2087100302489. The reversal of 2087100302400 is 42030017802.

The square root of 2087100302400 is 1444680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 108599247936 + 1978501054464 = 329544^2 + 1406592^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 520082794 + ... + 520086806.

Almost surely, 2^{2087100302400} is an apocalyptic number.

2087100302400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2087100302400 is the 1444680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087100302400

2087100302400 is an abundant number, since it is smaller than the sum of its proper divisors (5586467590591).

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

2087100302400 is an frugal number, since it uses more digits than its factorization.

2087100302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8060 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 2087100302400 in words is "two trillion, eighty-seven billion, one hundred million, three hundred two thousand, four hundred".