2262942144 has 112 divisors (see below), whose sum is σ = 6715353600. Its totient is φ = 747203328.

The previous prime is 2262942127. The next prime is 2262942169. The reversal of 2262942144 is 4412492622.

2262942144 is a `hidden beast` number, since 2 + 2 + 629 + 4 + 21 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2262942099 and 2262942108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178777 + ... + 191015.

Almost surely, 2^2262942144 is an apocalyptic number.

2262942144 is a gapful number since it is divisible by the number (24) 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 2262942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357676800).

2262942144 is an abundant number, since it is smaller than the sum of its proper divisors (4452411456).

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

2262942144 is a wasteful number, since it uses less digits than its factorization.

2262942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12367 (or 12351 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 2262942144 is about 47570.3914635984. The cubic root of 2262942144 is about 1312.8783405619.

The spelling of 2262942144 in words is "two billion, two hundred sixty-two million, nine hundred forty-two thousand, one hundred forty-four".