2149311840 has 384 divisors, whose sum is σ = 7738343424. Its totient is φ = 497664000.

The previous prime is 2149311839. The next prime is 2149311859. The reversal of 2149311840 is 481139412.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7930905 + ... + 7931175.

It is an arithmetic number, because the mean of its divisors is an integer number (20151936).

Almost surely, 2^2149311840 is an apocalyptic number.

2149311840 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 2149311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869171712).

2149311840 is an abundant number, since it is smaller than the sum of its proper divisors (5589031584).

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

2149311840 is a wasteful number, since it uses less digits than its factorization.

2149311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2149311840 is about 46360.6712634750. The cubic root of 2149311840 is about 1290.5251632560.

It can be divided in two parts, 21493 and 11840, that added together give a palindrome (33333).

The spelling of 2149311840 in words is "two billion, one hundred forty-nine million, three hundred eleven thousand, eight hundred forty".