2345376000 has 288 divisors, whose sum is σ = 8502189696. Its totient is φ = 568320000.

The previous prime is 2345375983. The next prime is 2345376029. The reversal of 2345376000 is 6735432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1054890 + ... + 1057110.

It is an arithmetic number, because the mean of its divisors is an integer number (29521492).

Almost surely, 2^2345376000 is an apocalyptic number.

2345376000 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 2345376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251094848).

2345376000 is an abundant number, since it is smaller than the sum of its proper divisors (6156813696).

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

2345376000 is a wasteful number, since it uses less digits than its factorization.

2345376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 2345376000 is about 48429.0821717695. The cubic root of 2345376000 is about 1328.6303196398.

The spelling of 2345376000 in words is "two billion, three hundred forty-five million, three hundred seventy-six thousand".