2658913920 has 192 divisors, whose sum is σ = 9888114600. Its totient is φ = 654483456.

The previous prime is 2658913913. The next prime is 2658913931. The reversal of 2658913920 is 293198562.

It can be written as a sum of positive squares in 4 ways, for example, as 1054430784 + 1604483136 = 32472^2 + 40056^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57126 + ... + 92634.

Almost surely, 2^2658913920 is an apocalyptic number.

2658913920 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 2658913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4944057300).

2658913920 is an abundant number, since it is smaller than the sum of its proper divisors (7229200680).

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

2658913920 is a wasteful number, since it uses less digits than its factorization.

2658913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35547 (or 35532 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2658913920 is about 51564.6576639465. The cubic root of 2658913920 is about 1385.3773806874.

The spelling of 2658913920 in words is "two billion, six hundred fifty-eight million, nine hundred thirteen thousand, nine hundred twenty".