2629742080 has 80 divisors (see below), whose sum is σ = 7206012000. Its totient is φ = 901619712.

The previous prime is 2629742057. The next prime is 2629742111. The reversal of 2629742080 is 802479262.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55455 + ... + 91294.

It is an arithmetic number, because the mean of its divisors is an integer number (90075150).

Almost surely, 2^2629742080 is an apocalyptic number.

2629742080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2629742080 is an abundant number, since it is smaller than the sum of its proper divisors (4576269920).

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

2629742080 is an equidigital number, since it uses as much as digits as its factorization.

2629742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146779 (or 146763 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2629742080 is about 51281.0109104725. The cubic root of 2629742080 is about 1380.2922576418.

The spelling of 2629742080 in words is "two billion, six hundred twenty-nine million, seven hundred forty-two thousand, eighty".