2829201653880 has 1536 divisors, whose sum is σ = 12149106278400. Its totient is φ = 577675929600.

The previous prime is 2829201653813. The next prime is 2829201653881. The reversal of 2829201653880 is 883561029282.

It is a happy number.

2829201653880 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 20 + 1 + 6 + 538 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2829201653881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1406862075 + ... + 1406864085.

It is an arithmetic number, because the mean of its divisors is an integer number (7909574400).

Almost surely, 2^{2829201653880} is an apocalyptic number.

2829201653880 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 2829201653880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074553139200).

2829201653880 is an abundant number, since it is smaller than the sum of its proper divisors (9319904624520).

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

2829201653880 is a wasteful number, since it uses less digits than its factorization.

2829201653880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2829201653880 in words is "two trillion, eight hundred twenty-nine billion, two hundred one million, six hundred fifty-three thousand, eight hundred eighty".