2029258980 has 336 divisors, whose sum is σ = 7447789440. Its totient is φ = 454616064.

The previous prime is 2029258943. The next prime is 2029259003. The reversal of 2029258980 is 898529202.

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 111 ways as a sum of consecutive naturals, for example, 6021372 + ... + 6021708.

It is an arithmetic number, because the mean of its divisors is an integer number (22166040).

Almost surely, 2^2029258980 is an apocalyptic number.

2029258980 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 2029258980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723894720).

2029258980 is an abundant number, since it is smaller than the sum of its proper divisors (5418530460).

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

2029258980 is a wasteful number, since it uses less digits than its factorization.

2029258980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2029258980 is about 45047.2971442239. The cubic root of 2029258980 is about 1266.0353306553.

The spelling of 2029258980 in words is "two billion, twenty-nine million, two hundred fifty-eight thousand, nine hundred eighty".