2340457920 has 336 divisors, whose sum is σ = 8515990080. Its totient is φ = 588791808.

The previous prime is 2340457913. The next prime is 2340457927. The reversal of 2340457920 is 297540432.

2340457920 is a `hidden beast` number, since 23 + 40 + 4 + 579 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2340457913) and next prime (2340457927).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340457927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5895162 + ... + 5895558.

Almost surely, 2^2340457920 is an apocalyptic number.

2340457920 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 2340457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257995040).

2340457920 is an abundant number, since it is smaller than the sum of its proper divisors (6175532160).

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

2340457920 is a wasteful number, since it uses less digits than its factorization.

2340457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2340457920 is about 48378.2794237249. The cubic root of 2340457920 is about 1327.7009899215.

The spelling of 2340457920 in words is "two billion, three hundred forty million, four hundred fifty-seven thousand, nine hundred twenty".