2029956030900 has 864 divisors, whose sum is σ = 8016655651200. Its totient is φ = 439372926720.

The previous prime is 2029956030857. The next prime is 2029956030953. The reversal of 2029956030900 is 90306599202.

2029956030900 is a `hidden beast` number, since 2 + 0 + 299 + 56 + 0 + 309 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 907444582 + ... + 907446818.

Almost surely, 2^{2029956030900} is an apocalyptic number.

2029956030900 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 2029956030900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008327825600).

2029956030900 is an abundant number, since it is smaller than the sum of its proper divisors (5986699620300).

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

2029956030900 is a wasteful number, since it uses less digits than its factorization.

2029956030900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2273 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 2029956030900 in words is "two trillion, twenty-nine billion, nine hundred fifty-six million, thirty thousand, nine hundred".