2140459776 has 576 divisors, whose sum is σ = 8076579840. Its totient is φ = 544112640.

The previous prime is 2140459751. The next prime is 2140459793. The reversal of 2140459776 is 6779540412.

It is a tau number, because it is divible by the number of its divisors (576).

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, 25788631 + ... + 25788713.

It is an arithmetic number, because the mean of its divisors is an integer number (14021840).

Almost surely, 2^2140459776 is an apocalyptic number.

2140459776 is a gapful number since it is divisible by the number (26) 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 2140459776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038289920).

2140459776 is an abundant number, since it is smaller than the sum of its proper divisors (5936120064).

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

2140459776 is a wasteful number, since it uses less digits than its factorization.

2140459776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2140459776 is about 46265.1032204620. The cubic root of 2140459776 is about 1288.7510247749.

The spelling of 2140459776 in words is "two billion, one hundred forty million, four hundred fifty-nine thousand, seven hundred seventy-six".