2029659840 has 336 divisors, whose sum is σ = 7848404928. Its totient is φ = 477683712.

The previous prime is 2029659833. The next prime is 2029659847. The reversal of 2029659840 is 489569202.

It is an interprime number because it is at equal distance from previous prime (2029659833) and next prime (2029659847).

It is a super-2 number, since 2×2029659840² = 8239038132217651200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2029659847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859942 + ... + 862298.

It is an arithmetic number, because the mean of its divisors is an integer number (23358348).

Almost surely, 2^2029659840 is an apocalyptic number.

2029659840 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 2029659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924202464).

2029659840 is an abundant number, since it is smaller than the sum of its proper divisors (5818745088).

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

2029659840 is a wasteful number, since it uses less digits than its factorization.

2029659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2029659840 is about 45051.7462480646. The cubic root of 2029659840 is about 1266.1186894107.

The spelling of 2029659840 in words is "two billion, twenty-nine million, six hundred fifty-nine thousand, eight hundred forty".