2002345029000 has 576 divisors, whose sum is σ = 7098500672640. Its totient is φ = 528596150400.

The previous prime is 2002345028989. The next prime is 2002345029049. The reversal of 2002345029000 is 9205432002.

2002345029000 is a `hidden beast` number, since 200 + 2 + 3 + 450 + 2 + 9 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2002345029000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 675781519 + ... + 675784481.

It is an arithmetic number, because the mean of its divisors is an integer number (12323785890).

Almost surely, 2^{2002345029000} is an apocalyptic number.

2002345029000 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 2002345029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3549250336320).

2002345029000 is an abundant number, since it is smaller than the sum of its proper divisors (5096155643640).

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

2002345029000 is an equidigital number, since it uses as much as digits as its factorization.

2002345029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 2002345029000 in words is "two trillion, two billion, three hundred forty-five million, twenty-nine thousand".