2290614641280 has 768 divisors, whose sum is σ = 9389434429440. Its totient is φ = 503526481920.

The previous prime is 2290614641201. The next prime is 2290614641297. The reversal of 2290614641280 is 821464160922.

It is a happy number.

2290614641280 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 61 + 464 + 128 + 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 95 ways as a sum of consecutive naturals, for example, 203731339 + ... + 203742581.

It is an arithmetic number, because the mean of its divisors is an integer number (12225826080).

Almost surely, 2^{2290614641280} is an apocalyptic number.

2290614641280 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 2290614641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694717214720).

2290614641280 is an abundant number, since it is smaller than the sum of its proper divisors (7098819788160).

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

2290614641280 is a wasteful number, since it uses less digits than its factorization.

2290614641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11469 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2290614641280 in words is "two trillion, two hundred ninety billion, six hundred fourteen million, six hundred forty-one thousand, two hundred eighty".