2450642040 has 960 divisors, whose sum is σ = 11123481600. Its totient is φ = 472158720.

The previous prime is 2450642027. The next prime is 2450642057. The reversal of 2450642040 is 402460542.

2450642040 is a `hidden beast` number, since 2 + 450 + 6 + 4 + 204 + 0 = 666.

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 = 2450641995 and 2450642013.

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 52141297 + ... + 52141343.

It is an arithmetic number, because the mean of its divisors is an integer number (11586960).

Almost surely, 2^2450642040 is an apocalyptic number.

2450642040 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 2450642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561740800).

2450642040 is an abundant number, since it is smaller than the sum of its proper divisors (8672839560).

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

2450642040 is a wasteful number, since it uses less digits than its factorization.

2450642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2450642040 is about 49503.9598416127. The cubic root of 2450642040 is about 1348.2174993257.

The spelling of 2450642040 in words is "two billion, four hundred fifty million, six hundred forty-two thousand, forty".