2164851540 has 144 divisors (see below), whose sum is σ = 6871737600. Its totient is φ = 550623744.

The previous prime is 2164851527. The next prime is 2164851571. The reversal of 2164851540 is 451584612.

It is a happy number.

2164851540 is a `hidden beast` number, since 2 + 1 + 64 + 8 + 51 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2164851495 and 2164851504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2355201 + ... + 2356119.

It is an arithmetic number, because the mean of its divisors is an integer number (47720400).

Almost surely, 2^2164851540 is an apocalyptic number.

2164851540 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 2164851540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435868800).

2164851540 is an abundant number, since it is smaller than the sum of its proper divisors (4706886060).

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

2164851540 is a wasteful number, since it uses less digits than its factorization.

2164851540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2164851540 is about 46527.9651392579. The cubic root of 2164851540 is about 1293.6278982995.

The spelling of 2164851540 in words is "two billion, one hundred sixty-four million, eight hundred fifty-one thousand, five hundred forty".