2257775100 has 288 divisors, whose sum is σ = 8784437760. Its totient is φ = 485637120.

The previous prime is 2257775087. The next prime is 2257775119. The reversal of 2257775100 is 15777522.

2257775100 is a `hidden beast` number, since 2 + 2 + 577 + 75 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317787 + ... + 324813.

It is an arithmetic number, because the mean of its divisors is an integer number (30501520).

Almost surely, 2^2257775100 is an apocalyptic number.

2257775100 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 2257775100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392218880).

2257775100 is an abundant number, since it is smaller than the sum of its proper divisors (6526662660).

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

2257775100 is a wasteful number, since it uses less digits than its factorization.

2257775100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7061 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 36.

The square root of 2257775100 is about 47516.0509722767. The cubic root of 2257775100 is about 1311.8783341658.

The spelling of 2257775100 in words is "two billion, two hundred fifty-seven million, seven hundred seventy-five thousand, one hundred".