2385156960 has 288 divisors, whose sum is σ = 8470163520. Its totient is φ = 610713600.

The previous prime is 2385156941. The next prime is 2385157007. The reversal of 2385156960 is 696515832.

2385156960 is a `hidden beast` number, since 2 + 3 + 85 + 1 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 4191556 + ... + 4192124.

It is an arithmetic number, because the mean of its divisors is an integer number (29410290).

Almost surely, 2^2385156960 is an apocalyptic number.

2385156960 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 2385156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4235081760).

2385156960 is an abundant number, since it is smaller than the sum of its proper divisors (6085006560).

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

2385156960 is a wasteful number, since it uses less digits than its factorization.

2385156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2385156960 is about 48838.0687578860. The cubic root of 2385156960 is about 1336.1000737783.

The spelling of 2385156960 in words is "two billion, three hundred eighty-five million, one hundred fifty-six thousand, nine hundred sixty".