2342039200 has 72 divisors (see below), whose sum is σ = 5730758208. Its totient is φ = 934644480.

The previous prime is 2342039191. The next prime is 2342039251. The reversal of 2342039200 is 29302432.

It is a super-2 number, since 2×2342039200² = 10970295228673280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 367239 + ... + 373561.

It is an arithmetic number, because the mean of its divisors is an integer number (79593864).

Almost surely, 2^2342039200 is an apocalyptic number.

2342039200 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 2342039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865379104).

2342039200 is an abundant number, since it is smaller than the sum of its proper divisors (3388719008).

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

2342039200 is a wasteful number, since it uses less digits than its factorization.

2342039200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 2342039200 is about 48394.6195356467. The cubic root of 2342039200 is about 1327.9999334688. Note that the first 4 decimals are identical.

The spelling of 2342039200 in words is "two billion, three hundred forty-two million, thirty-nine thousand, two hundred".