2029182217920 has 1120 divisors, whose sum is σ = 8607695475456. Its totient is φ = 447250636800.

The previous prime is 2029182217879. The next prime is 2029182217927. The reversal of 2029182217920 is 297122819202.

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 (2029182217927) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 248335435 + ... + 248343605.

Almost surely, 2^{2029182217920} is an apocalyptic number.

2029182217920 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 2029182217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303847737728).

2029182217920 is an abundant number, since it is smaller than the sum of its proper divisors (6578513257536).

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

2029182217920 is a wasteful number, since it uses less digits than its factorization.

2029182217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8272 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2029182217920 in words is "two trillion, twenty-nine billion, one hundred eighty-two million, two hundred seventeen thousand, nine hundred twenty".