2095140451600 has 315 divisors, whose sum is σ = 5900460603141. Its totient is φ = 714929443200.

The previous prime is 2095140451561. The next prime is 2095140451759. The reversal of 2095140451600 is 61540415902.

The square root of 2095140451600 is 1447460.

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

It can be written as a sum of positive squares in only one way, i.e., 754250562576 + 1340889889024 = 868476^2 + 1157968^2 .

It is a super-2 number, since 2×2095140451600² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2095140451600.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9929575495 + ... + 9929575705.

Almost surely, 2^{2095140451600} is an apocalyptic number.

2095140451600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2095140451600 is the 1447460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2095140451600

2095140451600 is an abundant number, since it is smaller than the sum of its proper divisors (3805320151541).

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

2095140451600 is an frugal number, since it uses more digits than its factorization.

2095140451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 2095140451600 in words is "two trillion, ninety-five billion, one hundred forty million, four hundred fifty-one thousand, six hundred".