2345561400 has 864 divisors, whose sum is σ = 10179192240. Its totient is φ = 441262080.

The previous prime is 2345561389. The next prime is 2345561411. The reversal of 2345561400 is 41655432.

It is an interprime number because it is at equal distance from previous prime (2345561389) and next prime (2345561411).

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

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 215 ways as a sum of consecutive naturals, for example, 123450591 + ... + 123450609.

Almost surely, 2^2345561400 is an apocalyptic number.

2345561400 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 2345561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089596120).

2345561400 is an abundant number, since it is smaller than the sum of its proper divisors (7833630840).

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

2345561400 is a wasteful number, since it uses less digits than its factorization.

2345561400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2345561400 is about 48430.9962730481. The cubic root of 2345561400 is about 1328.6653277538.

The spelling of 2345561400 in words is "two billion, three hundred forty-five million, five hundred sixty-one thousand, four hundred".