2140011598464 has 128 divisors (see below), whose sum is σ = 6317487748800. Its totient is φ = 713169902592.

The previous prime is 2140011598457. The next prime is 2140011598471. The reversal of 2140011598464 is 4648951100412.

2140011598464 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 0 + 11 + 598 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2140011598457) and next prime (2140011598471).

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15125619 + ... + 15266445.

Almost surely, 2^{2140011598464} is an apocalyptic number.

2140011598464 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 2140011598464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158743874400).

2140011598464 is an abundant number, since it is smaller than the sum of its proper divisors (4177476150336).

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

2140011598464 is a wasteful number, since it uses less digits than its factorization.

2140011598464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145247 (or 145229 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 2140011598464 its reverse (4648951100412), we get a palindrome (6788962698876).

The spelling of 2140011598464 in words is "two trillion, one hundred forty billion, eleven million, five hundred ninety-eight thousand, four hundred sixty-four".