2352036960 has 768 divisors, whose sum is σ = 10512875520. Its totient is φ = 477757440.

The previous prime is 2352036949. The next prime is 2352036983. The reversal of 2352036960 is 696302532.

2352036960 is a `hidden beast` number, since 235 + 2 + 0 + 369 + 60 = 666.

It is a super-2 number, since 2×2352036960² = 11064155722412083200, which contains 22 as substring.

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

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, 12186624 + ... + 12186816.

It is an arithmetic number, because the mean of its divisors is an integer number (13688640).

Almost surely, 2^2352036960 is an apocalyptic number.

2352036960 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 2352036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256437760).

2352036960 is an abundant number, since it is smaller than the sum of its proper divisors (8160838560).

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

2352036960 is a wasteful number, since it uses less digits than its factorization.

2352036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2352036960 is about 48497.8036616093. The cubic root of 2352036960 is about 1329.8869182316.

The spelling of 2352036960 in words is "two billion, three hundred fifty-two million, thirty-six thousand, nine hundred sixty".