2450075040 has 480 divisors, whose sum is σ = 10011133440. Its totient is φ = 552738816.

The previous prime is 2450075011. The next prime is 2450075081. The reversal of 2450075040 is 405700542.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2450074995 and 2450075013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10251241 + ... + 10251479.

It is an arithmetic number, because the mean of its divisors is an integer number (20856528).

Almost surely, 2^2450075040 is an apocalyptic number.

2450075040 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 2450075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5005566720).

2450075040 is an abundant number, since it is smaller than the sum of its proper divisors (7561058400).

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

2450075040 is a wasteful number, since it uses less digits than its factorization.

2450075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2450075040 is about 49498.2326957236. The cubic root of 2450075040 is about 1348.1135132039.

Adding to 2450075040 its reverse (405700542), we get a palindrome (2855775582).

It can be divided in two parts, 245007 and 5040, that added together give a cube (250047 = 63³).

The spelling of 2450075040 in words is "two billion, four hundred fifty million, seventy-five thousand, forty".