2345125440 has 224 divisors, whose sum is σ = 8539179264. Its totient is φ = 534159360.

The previous prime is 2345125411. The next prime is 2345125441. The reversal of 2345125440 is 445215432.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2345125440² = 10999226658670387200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2345125398 and 2345125407.

It is not an unprimeable number, because it can be changed into a prime (2345125441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3097542 + ... + 3098298.

It is an arithmetic number, because the mean of its divisors is an integer number (38121336).

Almost surely, 2^2345125440 is an apocalyptic number.

2345125440 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 2345125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269589632).

2345125440 is an abundant number, since it is smaller than the sum of its proper divisors (6194053824).

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

2345125440 is a wasteful number, since it uses less digits than its factorization.

2345125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2345125440 is about 48426.4952273030. The cubic root of 2345125440 is about 1328.5830047717.

The spelling of 2345125440 in words is "two billion, three hundred forty-five million, one hundred twenty-five thousand, four hundred forty".