2345746400 has 36 divisors (see below), whose sum is σ = 5726555352. Its totient is φ = 938298240.

The previous prime is 2345746393. The next prime is 2345746421. The reversal of 2345746400 is 46475432.

It is a super-2 number, since 2×2345746400² = 11005052346225920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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 5 ways as a sum of consecutive naturals, for example, 1465292 + ... + 1466891.

It is an arithmetic number, because the mean of its divisors is an integer number (159070982).

Almost surely, 2^2345746400 is an apocalyptic number.

2345746400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2345746400 is an abundant number, since it is smaller than the sum of its proper divisors (3380808952).

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

2345746400 is a wasteful number, since it uses less digits than its factorization.

2345746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932203 (or 2932190 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 2345746400 is about 48432.9061692565. The cubic root of 2345746400 is about 1328.7002584991.

The spelling of 2345746400 in words is "two billion, three hundred forty-five million, seven hundred forty-six thousand, four hundred".