2658842640 has 120 divisors (see below), whose sum is σ = 9119380608. Its totient is φ = 693930240.

The previous prime is 2658842639. The next prime is 2658842647. The reversal of 2658842640 is 462488562.

2658842640 is a `hidden beast` number, since 2 + 6 + 588 + 4 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (2658842647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5446 + ... + 73125.

Almost surely, 2^2658842640 is an apocalyptic number.

2658842640 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 2658842640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559690304).

2658842640 is an abundant number, since it is smaller than the sum of its proper divisors (6460537968).

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

2658842640 is a wasteful number, since it uses less digits than its factorization.

2658842640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78637 (or 78628 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2658842640 is about 51563.9664882367. The cubic root of 2658842640 is about 1385.3650008730.

The spelling of 2658842640 in words is "two billion, six hundred fifty-eight million, eight hundred forty-two thousand, six hundred forty".