2146887840 has 192 divisors, whose sum is σ = 7192209024. Its totient is φ = 536444928.

The previous prime is 2146887829. The next prime is 2146887887. The reversal of 2146887840 is 487886412.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2146887840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2504692 + ... + 2505548.

It is an arithmetic number, because the mean of its divisors is an integer number (37459422).

Almost surely, 2^2146887840 is an apocalyptic number.

2146887840 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 2146887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596104512).

2146887840 is an abundant number, since it is smaller than the sum of its proper divisors (5045321184).

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

2146887840 is a wasteful number, since it uses less digits than its factorization.

2146887840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 2146887840 is about 46334.5210399331. The cubic root of 2146887840 is about 1290.0398281075.

The spelling of 2146887840 in words is "two billion, one hundred forty-six million, eight hundred eighty-seven thousand, eight hundred forty".