2320719840 has 144 divisors (see below), whose sum is σ = 8015284368. Its totient is φ = 611371008.

The previous prime is 2320719829. The next prime is 2320719887. The reversal of 2320719840 is 489170232.

2320719840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 2320719795 and 2320719804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109812 + ... + 129228.

It is an arithmetic number, because the mean of its divisors is an integer number (55661697).

Almost surely, 2^2320719840 is an apocalyptic number.

2320719840 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 2320719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007642184).

2320719840 is an abundant number, since it is smaller than the sum of its proper divisors (5694564528).

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

2320719840 is a wasteful number, since it uses less digits than its factorization.

2320719840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19521 (or 19510 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2320719840 is about 48173.8501679075. The cubic root of 2320719840 is about 1323.9580920340.

The spelling of 2320719840 in words is "two billion, three hundred twenty million, seven hundred nineteen thousand, eight hundred forty".