2329944540 has 432 divisors, whose sum is σ = 8717377536. Its totient is φ = 455051520.

The previous prime is 2329944511. The next prime is 2329944553. The reversal of 2329944540 is 454499232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2329944492 and 2329944501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18345957 + ... + 18346083.

Almost surely, 2^2329944540 is an apocalyptic number.

2329944540 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 2329944540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358688768).

2329944540 is an abundant number, since it is smaller than the sum of its proper divisors (6387432996).

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

2329944540 is a wasteful number, since it uses less digits than its factorization.

2329944540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2329944540 is about 48269.4990651446. The cubic root of 2329944540 is about 1325.7099866467.

The spelling of 2329944540 in words is "two billion, three hundred twenty-nine million, nine hundred forty-four thousand, five hundred forty".