2075149440 has 768 divisors, whose sum is σ = 9142398720. Its totient is φ = 422019072.

The previous prime is 2075149409. The next prime is 2075149451. The reversal of 2075149440 is 449415702.

It is a happy number.

2075149440 is a `hidden beast` number, since 2 + 0 + 75 + 149 + 440 = 666.

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 = 2075149395 and 2075149404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19393867 + ... + 19393973.

It is an arithmetic number, because the mean of its divisors is an integer number (11904165).

Almost surely, 2^2075149440 is an apocalyptic number.

2075149440 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 2075149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2075149440 is an abundant number, since it is smaller than the sum of its proper divisors (7067249280).

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

2075149440 is a wasteful number, since it uses less digits than its factorization.

2075149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2075149440 is about 45553.8081832902. The cubic root of 2075149440 is about 1275.5078207808.

The spelling of 2075149440 in words is "two billion, seventy-five million, one hundred forty-nine thousand, four hundred forty".