2029145040 has 320 divisors, whose sum is σ = 7599513600. Its totient is φ = 494678016.

The previous prime is 2029145039. The next prime is 2029145047. The reversal of 2029145040 is 405419202.

2029145040 is a `hidden beast` number, since 202 + 9 + 1 + 450 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2029144995 and 2029145013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2029145047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3565876 + ... + 3566444.

It is an arithmetic number, because the mean of its divisors is an integer number (23748480).

Almost surely, 2^2029145040 is an apocalyptic number.

2029145040 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 2029145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799756800).

2029145040 is an abundant number, since it is smaller than the sum of its proper divisors (5570368560).

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

2029145040 is a wasteful number, since it uses less digits than its factorization.

2029145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2029145040 is about 45046.0324557002. The cubic root of 2029145040 is about 1266.0116348519.

The spelling of 2029145040 in words is "two billion, twenty-nine million, one hundred forty-five thousand, forty".