2958661620 has 96 divisors (see below), whose sum is σ = 9220122240. Its totient is φ = 787656960.

The previous prime is 2958661583. The next prime is 2958661631. The reversal of 2958661620 is 261668592.

2958661620 is a `hidden beast` number, since 2 + 9 + 5 + 8 + 6 + 616 + 20 = 666.

It is a super-2 number, since 2×2958661620² = 17507357163322048800, which contains 22 as substring.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342960 + ... + 351480.

It is an arithmetic number, because the mean of its divisors is an integer number (96042940).

Almost surely, 2^2958661620 is an apocalyptic number.

2958661620 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 2958661620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610061120).

2958661620 is an abundant number, since it is smaller than the sum of its proper divisors (6261460620).

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

2958661620 is a wasteful number, since it uses less digits than its factorization.

2958661620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182 (or 9174 counting only the distinct ones).

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

The square root of 2958661620 is about 54393.5806874304. The cubic root of 2958661620 is about 1435.5944345741.

The spelling of 2958661620 in words is "two billion, nine hundred fifty-eight million, six hundred sixty-one thousand, six hundred twenty".