2148740100 has 216 divisors, whose sum is σ = 7423608192. Its totient is φ = 516499200.

The previous prime is 2148740093. The next prime is 2148740101. The reversal of 2148740100 is 10478412.

It is not an unprimeable number, because it can be changed into a prime (2148740101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 500965 + ... + 505235.

Almost surely, 2^2148740100 is an apocalyptic number.

2148740100 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 2148740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711804096).

2148740100 is an abundant number, since it is smaller than the sum of its proper divisors (5274868092).

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

2148740100 is a wasteful number, since it uses less digits than its factorization.

2148740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347 (or 4337 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2148740100 is about 46354.5046354721. The cubic root of 2148740100 is about 1290.4107219299.

The spelling of 2148740100 in words is "two billion, one hundred forty-eight million, seven hundred forty thousand, one hundred".