2895987097600 has 135 divisors (see below), whose sum is σ = 7184530790157. Its totient is φ = 1157959188480.

The previous prime is 2895987097511. The next prime is 2895987097603. The reversal of 2895987097600 is 67907895982.

The square root of 2895987097600 is 1701760.

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., 1042555355136 + 1853431742464 = 1021056^2 + 1361408^2 .

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 2895987097600.

It is not an unprimeable number, because it can be changed into a prime (2895987097603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1089125071 + ... + 1089127729.

Almost surely, 2^{2895987097600} is an apocalyptic number.

2895987097600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2895987097600 is the 1701760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2895987097600

2895987097600 is an abundant number, since it is smaller than the sum of its proper divisors (4288543692557).

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

2895987097600 is an frugal number, since it uses more digits than its factorization.

2895987097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 70.

The spelling of 2895987097600 in words is "two trillion, eight hundred ninety-five billion, nine hundred eighty-seven million, ninety-seven thousand, six hundred".