2029007040 has 224 divisors, whose sum is σ = 6882140160. Its totient is φ = 505344000.

The previous prime is 2029007023. The next prime is 2029007087. The reversal of 2029007040 is 407009202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2029007040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861865 + ... + 864215.

It is an arithmetic number, because the mean of its divisors is an integer number (30723840).

Almost surely, 2^2029007040 is an apocalyptic number.

2029007040 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 2029007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3441070080).

2029007040 is an abundant number, since it is smaller than the sum of its proper divisors (4853133120).

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

2029007040 is a wasteful number, since it uses less digits than its factorization.

2029007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 2029007040 is about 45044.5006632330. The cubic root of 2029007040 is about 1265.9829341655.

The spelling of 2029007040 in words is "two billion, twenty-nine million, seven thousand, forty".