2340787680 has 768 divisors, whose sum is σ = 10590289920. Its totient is φ = 468633600.

The previous prime is 2340787651. The next prime is 2340787699. The reversal of 2340787680 is 867870432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311727 + ... + 10311953.

It is an arithmetic number, because the mean of its divisors is an integer number (13789440).

Almost surely, 2^2340787680 is an apocalyptic number.

2340787680 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 2340787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295144960).

2340787680 is an abundant number, since it is smaller than the sum of its proper divisors (8249502240).

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

2340787680 is a wasteful number, since it uses less digits than its factorization.

2340787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2340787680 is about 48381.6874447347. The cubic root of 2340787680 is about 1327.7633426936.

The spelling of 2340787680 in words is "two billion, three hundred forty million, seven hundred eighty-seven thousand, six hundred eighty".