2093149440 has 432 divisors, whose sum is σ = 7786658880. Its totient is φ = 517570560.

The previous prime is 2093149433. The next prime is 2093149447. The reversal of 2093149440 is 449413902.

2093149440 is a `hidden beast` number, since 209 + 3 + 1 + 4 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2093149433) and next prime (2093149447).

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 = 2093149395 and 2093149404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093149447) 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, 15978175 + ... + 15978305.

Almost surely, 2^2093149440 is an apocalyptic number.

2093149440 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 2093149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893329440).

2093149440 is an abundant number, since it is smaller than the sum of its proper divisors (5693509440).

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

2093149440 is a wasteful number, since it uses less digits than its factorization.

2093149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2093149440 is about 45750.9501540678. The cubic root of 2093149440 is about 1279.1851584694.

The spelling of 2093149440 in words is "two billion, ninety-three million, one hundred forty-nine thousand, four hundred forty".