2827258590720 has 320 divisors, whose sum is σ = 9107318094336. Its totient is φ = 748201574400.

The previous prime is 2827258590703. The next prime is 2827258590749. The reversal of 2827258590720 is 270958527282.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2827258590720² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009373320 + ... + 1009376120.

Almost surely, 2^{2827258590720} is an apocalyptic number.

2827258590720 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 2827258590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553659047168).

2827258590720 is an abundant number, since it is smaller than the sum of its proper divisors (6280059503616).

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

2827258590720 is a wasteful number, since it uses less digits than its factorization.

2827258590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3781 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 2827258590720 in words is "two trillion, eight hundred twenty-seven billion, two hundred fifty-eight million, five hundred ninety thousand, seven hundred twenty".