2958223680 has 252 divisors, whose sum is σ = 10573367220. Its totient is φ = 788299776.

The previous prime is 2958223649. The next prime is 2958223699. The reversal of 2958223680 is 863228592.

It is a happy number.

2958223680 is a `hidden beast` number, since 2 + 9 + 582 + 2 + 3 + 68 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 2554695936 = 20088^2 + 50544^2 .

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 35 ways as a sum of consecutive naturals, for example, 2098816 + ... + 2100224.

Almost surely, 2^2958223680 is an apocalyptic number.

2958223680 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 2958223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286683610).

2958223680 is an abundant number, since it is smaller than the sum of its proper divisors (7615143540).

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

2958223680 is an frugal number, since it uses more digits than its factorization.

2958223680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2958223680 is about 54389.5548795906. The cubic root of 2958223680 is about 1435.5235990264.

The spelling of 2958223680 in words is "two billion, nine hundred fifty-eight million, two hundred twenty-three thousand, six hundred eighty".