2345552000 has 128 divisors (see below), whose sum is σ = 6362254080. Its totient is φ = 852864000.

The previous prime is 2345551997. The next prime is 2345552009. The reversal of 2345552000 is 2555432.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2345552000² = 11003228369408000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2345552009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169337 + ... + 182663.

It is an arithmetic number, because the mean of its divisors is an integer number (49705110).

Almost surely, 2^2345552000 is an apocalyptic number.

2345552000 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 2345552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181127040).

2345552000 is an abundant number, since it is smaller than the sum of its proper divisors (4016702080).

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

2345552000 is a wasteful number, since it uses less digits than its factorization.

2345552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 2345552000 is about 48430.8992276625. The cubic root of 2345552000 is about 1328.6635528453.

The spelling of 2345552000 in words is "two billion, three hundred forty-five million, five hundred fifty-two thousand".