2034146040 has 128 divisors (see below), whose sum is σ = 6296685120. Its totient is φ = 525312000.

The previous prime is 2034146029. The next prime is 2034146047. The reversal of 2034146040 is 406414302.

It is a super-2 number, since 2×2034146040² = 8275500224095363200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2034146040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034146047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069090 + ... + 1070990.

Almost surely, 2^2034146040 is an apocalyptic number.

2034146040 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 2034146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148342560).

2034146040 is an abundant number, since it is smaller than the sum of its proper divisors (4262539080).

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

2034146040 is a wasteful number, since it uses less digits than its factorization.

2034146040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2034146040 is about 45101.5081787738. The cubic root of 2034146040 is about 1267.0508459169.

The spelling of 2034146040 in words is "two billion, thirty-four million, one hundred forty-six thousand, forty".