2309616960 has 336 divisors, whose sum is σ = 8767413504. Its totient is φ = 513257472.

The previous prime is 2309616949. The next prime is 2309616973. The reversal of 2309616960 is 696169032.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1739817 + ... + 1741143.

Almost surely, 2^2309616960 is an apocalyptic number.

2309616960 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 2309616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4383706752).

2309616960 is an abundant number, since it is smaller than the sum of its proper divisors (6457796544).

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

2309616960 is a wasteful number, since it uses less digits than its factorization.

2309616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 2309616960 is about 48058.4743827767. The cubic root of 2309616960 is about 1321.8433383203.

The spelling of 2309616960 in words is "two billion, three hundred nine million, six hundred sixteen thousand, nine hundred sixty".