2277857964096 has 336 divisors, whose sum is σ = 7673729656320. Its totient is φ = 636896010240.

The previous prime is 2277857964091. The next prime is 2277857964119. The reversal of 2277857964096 is 6904697587722.

2277857964096 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 8 + 579 + 6 + 40 + 9 + 6 = 666.

It is a super-3 number, since 3×2277857964096³ (a number of 38 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2277857964091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276669996 + ... + 276678228.

It is an arithmetic number, because the mean of its divisors is an integer number (22838481120).

Almost surely, 2^{2277857964096} is an apocalyptic number.

2277857964096 is a gapful number since it is divisible by the number (26) 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 2277857964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836864828160).

2277857964096 is an abundant number, since it is smaller than the sum of its proper divisors (5395871692224).

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

2277857964096 is a wasteful number, since it uses less digits than its factorization.

2277857964096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11634 (or 11621 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 2277857964096 in words is "two trillion, two hundred seventy-seven billion, eight hundred fifty-seven million, nine hundred sixty-four thousand, ninety-six".