2340126720 has 384 divisors, whose sum is σ = 8697805200. Its totient is φ = 596901888.

The previous prime is 2340126709. The next prime is 2340126739. The reversal of 2340126720 is 276210432.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 101744629 + ... + 101744651.

Almost surely, 2^2340126720 is an apocalyptic number.

2340126720 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 2340126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348902600).

2340126720 is an abundant number, since it is smaller than the sum of its proper divisors (6357678480).

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

2340126720 is an frugal number, since it uses more digits than its factorization.

2340126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2340126720 is about 48374.8562788563. The cubic root of 2340126720 is about 1327.6383589711.

The spelling of 2340126720 in words is "two billion, three hundred forty million, one hundred twenty-six thousand, seven hundred twenty".