2658216960 has 704 divisors, whose sum is σ = 11224765440. Its totient is φ = 583925760.

The previous prime is 2658216959. The next prime is 2658216991. The reversal of 2658216960 is 696128562.

2658216960 is a `hidden beast` number, since 2 + 6 + 582 + 1 + 6 + 9 + 60 = 666.

It is a super-2 number, since 2×2658216960² = 14132234812863283200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39674847 + ... + 39674913.

Almost surely, 2^2658216960 is an apocalyptic number.

2658216960 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 2658216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612382720).

2658216960 is an abundant number, since it is smaller than the sum of its proper divisors (8566548480).

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

2658216960 is a wasteful number, since it uses less digits than its factorization.

2658216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2658216960 is about 51557.8991038231. The cubic root of 2658216960 is about 1385.2563241175.

The spelling of 2658216960 in words is "two billion, six hundred fifty-eight million, two hundred sixteen thousand, nine hundred sixty".