2095590228480 has 1440 divisors, whose sum is σ = 9015702551856. Its totient is φ = 446963908608.

The previous prime is 2095590228449. The next prime is 2095590228503. The reversal of 2095590228480 is 848220955902.

It is a happy number.

2095590228480 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 590 + 2 + 2 + 8 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1282909614336 + 812680614144 = 1132656^2 + 901488^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2095590228480² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2629347442 + ... + 2629348238.

Almost surely, 2^{2095590228480} is an apocalyptic number.

2095590228480 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 2095590228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4507851275928).

2095590228480 is an abundant number, since it is smaller than the sum of its proper divisors (6920112323376).

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

2095590228480 is a wasteful number, since it uses less digits than its factorization.

2095590228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 2095590228480 in words is "two trillion, ninety-five billion, five hundred ninety million, two hundred twenty-eight thousand, four hundred eighty".