2148693316 has 135 divisors (see below), whose sum is σ = 4936434783. Its totient is φ = 817684560.

The previous prime is 2148693311. The next prime is 2148693319. The reversal of 2148693316 is 6133968412.

The square root of 2148693316 is 46354.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×2148693316³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (2148693311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49969591 + ... + 49969633.

Almost surely, 2^2148693316 is an apocalyptic number.

2148693316 is the 46354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148693316

2148693316 is an abundant number, since it is smaller than the sum of its proper divisors (2787741467).

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

2148693316 is an equidigital number, since it uses as much as digits as its factorization.

2148693316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 63 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The cubic root of 2148693316 is about 1290.4013565948.

Multiplying 2148693316 by its product of digits (186624), we get a square (400997741405184 = 20024928²).

The spelling of 2148693316 in words is "two billion, one hundred forty-eight million, six hundred ninety-three thousand, three hundred sixteen".