2140311264 has 192 divisors, whose sum is σ = 6944910336. Its totient is φ = 562028544.

The previous prime is 2140311241. The next prime is 2140311281. The reversal of 2140311264 is 4621130412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2943669 + ... + 2944395.

It is an arithmetic number, because the mean of its divisors is an integer number (36171408).

Almost surely, 2^2140311264 is an apocalyptic number.

2140311264 is a gapful number since it is divisible by the number (24) 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 2140311264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472455168).

2140311264 is an abundant number, since it is smaller than the sum of its proper divisors (4804599072).

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

2140311264 is a wasteful number, since it uses less digits than its factorization.

2140311264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2140311264 is about 46263.4981816118. The cubic root of 2140311264 is about 1288.7212181853.

Adding to 2140311264 its reverse (4621130412), we get a palindrome (6761441676).

The spelling of 2140311264 in words is "two billion, one hundred forty million, three hundred eleven thousand, two hundred sixty-four".