2274059314080 has 288 divisors, whose sum is σ = 8400166689600. Its totient is φ = 574498801152.

The previous prime is 2274059314063. The next prime is 2274059314103. The reversal of 2274059314080 is 804139504722.

2274059314080 is a `hidden beast` number, since 2 + 2 + 7 + 40 + 593 + 14 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 830431 + ... + 2288609.

It is an arithmetic number, because the mean of its divisors is an integer number (29167245450).

Almost surely, 2^{2274059314080} is an apocalyptic number.

2274059314080 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 2274059314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200083344800).

2274059314080 is an abundant number, since it is smaller than the sum of its proper divisors (6126107375520).

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

2274059314080 is a wasteful number, since it uses less digits than its factorization.

2274059314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458241 (or 1458208 counting only the distinct ones).

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

The spelling of 2274059314080 in words is "two trillion, two hundred seventy-four billion, fifty-nine million, three hundred fourteen thousand, eighty".