2153651766 has 128 divisors (see below), whose sum is σ = 5509140480. Its totient is φ = 547018752.

The previous prime is 2153651743. The next prime is 2153651779. The reversal of 2153651766 is 6671563512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 972076 + ... + 974288.

It is an arithmetic number, because the mean of its divisors is an integer number (43040160).

Almost surely, 2^2153651766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153651766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754570240).

2153651766 is an abundant number, since it is smaller than the sum of its proper divisors (3355488714).

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

2153651766 is a wasteful number, since it uses less digits than its factorization.

2153651766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318.

The product of its digits is 226800, while the sum is 42.

The square root of 2153651766 is about 46407.4537763062. The cubic root of 2153651766 is about 1291.3931958509.

The spelling of 2153651766 in words is "two billion, one hundred fifty-three million, six hundred fifty-one thousand, seven hundred sixty-six".