2029406698000 has 80 divisors (see below), whose sum is σ = 5353205944320. Its totient is φ = 737966064000.

The previous prime is 2029406697991. The next prime is 2029406698009. The reversal of 2029406698000 is 8966049202.

It is an interprime number because it is at equal distance from previous prime (2029406697991) and next prime (2029406698009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2029406698009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46100880 + ... + 46144879.

It is an arithmetic number, because the mean of its divisors is an integer number (66915074304).

Almost surely, 2^{2029406698000} is an apocalyptic number.

2029406698000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2029406698000 is an abundant number, since it is smaller than the sum of its proper divisors (3323799246320).

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

2029406698000 is a wasteful number, since it uses less digits than its factorization.

2029406698000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92245793 (or 92245777 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 2029406698000 in words is "two trillion, twenty-nine billion, four hundred six million, six hundred ninety-eight thousand".