2049910128 has 240 divisors, whose sum is σ = 6777441216. Its totient is φ = 566231040.

The previous prime is 2049910127. The next prime is 2049910129. The reversal of 2049910128 is 8210199402.

2049910128 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2049910127) and next prime (2049910129).

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 = 2049910092 and 2049910101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049910127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7976176 + ... + 7976432.

Almost surely, 2^2049910128 is an apocalyptic number.

2049910128 is a gapful number since it is divisible by the number (28) 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 2049910128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388720608).

2049910128 is an abundant number, since it is smaller than the sum of its proper divisors (4727531088).

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

2049910128 is a wasteful number, since it uses less digits than its factorization.

2049910128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2049910128 is about 45275.9332095982. The cubic root of 2049910128 is about 1270.3155286857.

The spelling of 2049910128 in words is "two billion, forty-nine million, nine hundred ten thousand, one hundred twenty-eight".