2129169240 has 240 divisors, whose sum is σ = 7867545840. Its totient is φ = 516067200.

The previous prime is 2129169239. The next prime is 2129169247. The reversal of 2129169240 is 429619212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2129169195 and 2129169204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2129169247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 389325 + ... + 394755.

It is an arithmetic number, because the mean of its divisors is an integer number (32781441).

Almost surely, 2^2129169240 is an apocalyptic number.

2129169240 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 2129169240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933772920).

2129169240 is an abundant number, since it is smaller than the sum of its proper divisors (5738376600).

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

2129169240 is a wasteful number, since it uses less digits than its factorization.

2129169240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5476 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2129169240 is about 46142.9218840767. The cubic root of 2129169240 is about 1286.4810531047.

The spelling of 2129169240 in words is "two billion, one hundred twenty-nine million, one hundred sixty-nine thousand, two hundred forty".