2153786544 has 160 divisors (see below), whose sum is σ = 7608957440. Its totient is φ = 568021248.

The previous prime is 2153786521. The next prime is 2153786567. The reversal of 2153786544 is 4456873512.

2153786544 is a `hidden beast` number, since 21 + 5 + 3 + 7 + 86 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (2153786521) and next prime (2153786567).

It is a self number, because there is not a number n which added to its sum of digits gives 2153786544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11919 + ... + 66705.

It is an arithmetic number, because the mean of its divisors is an integer number (47555984).

Almost surely, 2^2153786544 is an apocalyptic number.

2153786544 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 2153786544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3804478720).

2153786544 is an abundant number, since it is smaller than the sum of its proper divisors (5455170896).

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

2153786544 is a wasteful number, since it uses less digits than its factorization.

2153786544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54824 (or 54812 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 2153786544 is about 46408.9058694557. The cubic root of 2153786544 is about 1291.4201342452.

The spelling of 2153786544 in words is "two billion, one hundred fifty-three million, seven hundred eighty-six thousand, five hundred forty-four".