2342172816 has 135 divisors (see below), whose sum is σ = 6799148811. Its totient is φ = 752654592.

The previous prime is 2342172787. The next prime is 2342172817. The reversal of 2342172816 is 6182712432.

It is a happy number.

The square root of 2342172816 is 48396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 874976400 + 1467196416 = 29580^2 + 38304^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2342172817) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21487770 + ... + 21487878.

Almost surely, 2^2342172816 is an apocalyptic number.

2342172816 is the 48396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342172816

2342172816 is an abundant number, since it is smaller than the sum of its proper divisors (4456975995).

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

2342172816 is a wasteful number, since it uses less digits than its factorization.

2342172816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

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

The cubic root of 2342172816 is about 1328.0251876241.

Multiplying 2342172816 by its sum of digits (36), we get a square (84318221376 = 290376²).

2342172816 divided by its sum of digits (36) gives a square (65060356 = 8066²).

The spelling of 2342172816 in words is "two billion, three hundred forty-two million, one hundred seventy-two thousand, eight hundred sixteen".