2958641640 has 192 divisors, whose sum is σ = 10100563200. Its totient is φ = 778781952.

The previous prime is 2958641633. The next prime is 2958641641. The reversal of 2958641640 is 461468592.

2958641640 is a `hidden beast` number, since 2 + 9 + 586 + 4 + 1 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2958641641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 765954 + ... + 769806.

It is an arithmetic number, because the mean of its divisors is an integer number (52607100).

Almost surely, 2^2958641640 is an apocalyptic number.

2958641640 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 2958641640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050281600).

2958641640 is an abundant number, since it is smaller than the sum of its proper divisors (7141921560).

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

2958641640 is a wasteful number, since it uses less digits than its factorization.

2958641640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958 (or 3942 counting only the distinct ones).

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

The square root of 2958641640 is about 54393.3970257420. The cubic root of 2958641640 is about 1435.5912030182.

The spelling of 2958641640 in words is "two billion, nine hundred fifty-eight million, six hundred forty-one thousand, six hundred forty".