2829742002720 has 96 divisors (see below), whose sum is σ = 9904097024640. Its totient is φ = 754597866240.

The previous prime is 2829742002709. The next prime is 2829742002809. The reversal of 2829742002720 is 272002479282.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327512116 + ... + 327520755.

It is an arithmetic number, because the mean of its divisors is an integer number (103167677340).

Almost surely, 2^{2829742002720} is an apocalyptic number.

2829742002720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2829742002720 is an abundant number, since it is smaller than the sum of its proper divisors (7074355021920).

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

2829742002720 is a wasteful number, since it uses less digits than its factorization.

2829742002720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655032895 (or 655032881 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2829742002720 in words is "two trillion, eight hundred twenty-nine billion, seven hundred forty-two million, two thousand, seven hundred twenty".