2228095134720 has 1188 divisors, whose sum is σ = 9726380108640. Its totient is φ = 470023077888.

The previous prime is 2228095134719. The next prime is 2228095134737. The reversal of 2228095134720 is 274315908222.

2228095134720 is a `hidden beast` number, since 2 + 2 + 2 + 80 + 95 + 13 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 381585561 + ... + 381591399.

Almost surely, 2^{2228095134720} is an apocalyptic number.

2228095134720 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 2228095134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863190054320).

2228095134720 is an abundant number, since it is smaller than the sum of its proper divisors (7498284973920).

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

2228095134720 is a wasteful number, since it uses less digits than its factorization.

2228095134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5869 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2228095134720 in words is "two trillion, two hundred twenty-eight billion, ninety-five million, one hundred thirty-four thousand, seven hundred twenty".