2290977779328 has 1152 divisors, whose sum is σ = 8666352414720. Its totient is φ = 588903727104.

The previous prime is 2290977779303. The next prime is 2290977779369. The reversal of 2290977779328 is 8239777790922.

2290977779328 is a `hidden beast` number, since 2 + 290 + 9 + 7 + 7 + 7 + 7 + 9 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1447237225 + ... + 1447238807.

It is an arithmetic number, because the mean of its divisors is an integer number (7522875360).

Almost surely, 2^{2290977779328} is an apocalyptic number.

2290977779328 is a gapful number since it is divisible by the number (28) 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 2290977779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333176207360).

2290977779328 is an abundant number, since it is smaller than the sum of its proper divisors (6375374635392).

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

2290977779328 is a wasteful number, since it uses less digits than its factorization.

2290977779328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 336063168, while the sum is 72.

The spelling of 2290977779328 in words is "two trillion, two hundred ninety billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, three hundred twenty-eight".