2129034240 has 176 divisors, whose sum is σ = 7566694560. Its totient is φ = 567705600.

The previous prime is 2129034239. The next prime is 2129034241. The reversal of 2129034240 is 424309212.

It is an interprime number because it is at equal distance from previous prime (2129034239) and next prime (2129034241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129034241) 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, 130540 + ... + 145940.

Almost surely, 2^2129034240 is an apocalyptic number.

2129034240 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 2129034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783347280).

2129034240 is an abundant number, since it is smaller than the sum of its proper divisors (5437660320).

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

2129034240 is a wasteful number, since it uses less digits than its factorization.

2129034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15435 (or 15411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2129034240 is about 46141.4590146432. The cubic root of 2129034240 is about 1286.4538627480.

The spelling of 2129034240 in words is "two billion, one hundred twenty-nine million, thirty-four thousand, two hundred forty".