2163654240 has 144 divisors (see below), whose sum is σ = 7491630384. Its totient is φ = 524508160.

The previous prime is 2163654239. The next prime is 2163654247. The reversal of 2163654240 is 424563612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163654247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39454 + ... + 76706.

It is an arithmetic number, because the mean of its divisors is an integer number (52025211).

Almost surely, 2^2163654240 is an apocalyptic number.

2163654240 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 2163654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745815192).

2163654240 is an abundant number, since it is smaller than the sum of its proper divisors (5327976144).

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

2163654240 is a wasteful number, since it uses less digits than its factorization.

2163654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37293 (or 37274 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2163654240 is about 46515.0969041235. The cubic root of 2163654240 is about 1293.3893682693.

It can be divided in two parts, 216 and 3654240, that added together give a triangular number (3654456 = T₂₇₀₃).

The spelling of 2163654240 in words is "two billion, one hundred sixty-three million, six hundred fifty-four thousand, two hundred forty".