2658142720 has 40 divisors (see below), whose sum is σ = 6373318644. Its totient is φ = 1063256064.

The previous prime is 2658142717. The next prime is 2658142723. The reversal of 2658142720 is 272418562.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2658142717) and next prime (2658142723).

It can be written as a sum of positive squares in 2 ways, for example, as 2619801856 + 38340864 = 51184^2 + 6192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2658142720.

It is not an unprimeable number, because it can be changed into a prime (2658142723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 516609 + ... + 521728.

Almost surely, 2^2658142720 is an apocalyptic number.

2658142720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2658142720 is an abundant number, since it is smaller than the sum of its proper divisors (3715175924).

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

2658142720 is an equidigital number, since it uses as much as digits as its factorization.

2658142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038360 (or 1038344 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 2658142720 is about 51557.1791315235. The cubic root of 2658142720 is about 1385.2434279559.

The spelling of 2658142720 in words is "two billion, six hundred fifty-eight million, one hundred forty-two thousand, seven hundred twenty".