2829414663680 has 80 divisors (see below), whose sum is σ = 7400687803344. Its totient is φ = 1028878049280.

The previous prime is 2829414663667. The next prime is 2829414663697. The reversal of 2829414663680 is 863664149282.

It is a happy number.

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

It is a super-2 number, since 2×2829414663680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50210027 + ... + 50266346.

Almost surely, 2^{2829414663680} is an apocalyptic number.

2829414663680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2829414663680 is an abundant number, since it is smaller than the sum of its proper divisors (4571273139664).

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

2829414663680 is a wasteful number, since it uses less digits than its factorization.

2829414663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100476407 (or 100476391 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 59.

The spelling of 2829414663680 in words is "two trillion, eight hundred twenty-nine billion, four hundred fourteen million, six hundred sixty-three thousand, six hundred eighty".