2538833040 has 240 divisors, whose sum is σ = 9320403456. Its totient is φ = 616550400.

The previous prime is 2538832963. The next prime is 2538833051. The reversal of 2538833040 is 403388352.

2538833040 is a `hidden beast` number, since 2 + 538 + 83 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2538832986 and 2538833004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376095 + ... + 382785.

Almost surely, 2^2538833040 is an apocalyptic number.

2538833040 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 2538833040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660201728).

2538833040 is an abundant number, since it is smaller than the sum of its proper divisors (6781570416).

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

2538833040 is a wasteful number, since it uses less digits than its factorization.

2538833040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6749 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2538833040 is about 50386.8339946062. The cubic root of 2538833040 is about 1364.2000062173.

The spelling of 2538833040 in words is "two billion, five hundred thirty-eight million, eight hundred thirty-three thousand, forty".