2277385641960 has 512 divisors, whose sum is σ = 8076561131520. Its totient is φ = 506464358400.

The previous prime is 2277385641953. The next prime is 2277385641961. The reversal of 2277385641960 is 691465837722.

2277385641960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2277385641960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2277385641894 and 2277385641903.

It is not an unprimeable number, because it can be changed into a prime (2277385641961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3106937754 + ... + 3106938486.

It is an arithmetic number, because the mean of its divisors is an integer number (15774533460).

It is a 1-persistent number, because it is pandigital, but 2⋅2277385641960 = 4554771283920 is not.

Almost surely, 2^{2277385641960} is an apocalyptic number.

2277385641960 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 2277385641960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038280565760).

2277385641960 is an abundant number, since it is smaller than the sum of its proper divisors (5799175489560).

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

2277385641960 is a wasteful number, since it uses less digits than its factorization.

2277385641960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 2277385641960 in words is "two trillion, two hundred seventy-seven billion, three hundred eighty-five million, six hundred forty-one thousand, nine hundred sixty".