2450766840 has 128 divisors (see below), whose sum is σ = 7713792000. Its totient is φ = 621716480.

The previous prime is 2450766793. The next prime is 2450766893. The reversal of 2450766840 is 486670542.

It is a junction number, because it is equal to n+sod(n) for n = 2450766792 and 2450766801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524836 + ... + 529484.

It is an arithmetic number, because the mean of its divisors is an integer number (60264000).

Almost surely, 2^2450766840 is an apocalyptic number.

2450766840 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 2450766840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896000).

2450766840 is an abundant number, since it is smaller than the sum of its proper divisors (5263025160).

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

2450766840 is a wasteful number, since it uses less digits than its factorization.

2450766840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877 (or 4873 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 2450766840 is about 49505.2203307894. The cubic root of 2450766840 is about 1348.2403851226.

The spelling of 2450766840 in words is "two billion, four hundred fifty million, seven hundred sixty-six thousand, eight hundred forty".