2187633240 has 384 divisors, whose sum is σ = 7961990400. Its totient is φ = 517570560.

The previous prime is 2187633233. The next prime is 2187633289. The reversal of 2187633240 is 423367812.

It is a happy number.

2187633240 is a `hidden beast` number, since 2 + 18 + 7 + 633 + 2 + 4 + 0 = 666.

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 = 2187633195 and 2187633204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22552872 + ... + 22552968.

It is an arithmetic number, because the mean of its divisors is an integer number (20734350).

Almost surely, 2^2187633240 is an apocalyptic number.

2187633240 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 2187633240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980995200).

2187633240 is an abundant number, since it is smaller than the sum of its proper divisors (5774357160).

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

2187633240 is a wasteful number, since it uses less digits than its factorization.

2187633240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2187633240 is about 46772.1417084999. The cubic root of 2187633240 is about 1298.1498810387.

The spelling of 2187633240 in words is "two billion, one hundred eighty-seven million, six hundred thirty-three thousand, two hundred forty".