2829193920 has 560 divisors, whose sum is σ = 11896270848. Its totient is φ = 624568320.

The previous prime is 2829193909. The next prime is 2829193931. The reversal of 2829193920 is 293919282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2829193909) and next prime (2829193931).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5624389 + ... + 5624891.

Almost surely, 2^2829193920 is an apocalyptic number.

2829193920 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 2829193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948135424).

2829193920 is an abundant number, since it is smaller than the sum of its proper divisors (9067076928).

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

2829193920 is a wasteful number, since it uses less digits than its factorization.

2829193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2829193920 is about 53190.1675124266. The cubic root of 2829193920 is about 1414.3413500349.

The spelling of 2829193920 in words is "two billion, eight hundred twenty-nine million, one hundred ninety-three thousand, nine hundred twenty".