2093374080 has 288 divisors, whose sum is σ = 8410009140. Its totient is φ = 478420992.

The previous prime is 2093374057. The next prime is 2093374091. The reversal of 2093374080 is 804733902.

2093374080 is a `hidden beast` number, since 209 + 3 + 374 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2072798784 + 20575296 = 45528^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278532 + ... + 285948.

Almost surely, 2^2093374080 is an apocalyptic number.

2093374080 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 2093374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205004570).

2093374080 is an abundant number, since it is smaller than the sum of its proper divisors (6316635060).

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

2093374080 is a wasteful number, since it uses less digits than its factorization.

2093374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7456 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2093374080 is about 45753.4051191821. The cubic root of 2093374080 is about 1279.2309182018.

The spelling of 2093374080 in words is "two billion, ninety-three million, three hundred seventy-four thousand, eighty".