2112742944 has 72 divisors (see below), whose sum is σ = 6470286732. Its totient is φ = 650073600.

The previous prime is 2112742903. The next prime is 2112742963. The reversal of 2112742944 is 4492472112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2052090000 + 60652944 = 45300^2 + 7788^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 2112742899 and 2112742908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278407 + ... + 285894.

Almost surely, 2^2112742944 is an apocalyptic number.

2112742944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2112742944 is an abundant number, since it is smaller than the sum of its proper divisors (4357543788).

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

2112742944 is a wasteful number, since it uses less digits than its factorization.

2112742944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564330 (or 564319 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2112742944 is about 45964.5835834504. The cubic root of 2112742944 is about 1283.1641574411.

The spelling of 2112742944 in words is "two billion, one hundred twelve million, seven hundred forty-two thousand, nine hundred forty-four".