2450682864 has 400 divisors, whose sum is σ = 8552280000. Its totient is φ = 676698624.

The previous prime is 2450682863. The next prime is 2450682929. The reversal of 2450682864 is 4682860542.

2450682864 is a `hidden beast` number, since 2 + 4 + 506 + 82 + 8 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2450682863) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16447462 + ... + 16447610.

It is an arithmetic number, because the mean of its divisors is an integer number (21380700).

Almost surely, 2^2450682864 is an apocalyptic number.

2450682864 is a gapful number since it is divisible by the number (24) 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 2450682864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4276140000).

2450682864 is an abundant number, since it is smaller than the sum of its proper divisors (6101597136).

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

2450682864 is a wasteful number, since it uses less digits than its factorization.

2450682864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2450682864 is about 49504.3721705467. The cubic root of 2450682864 is about 1348.2249857075.

The spelling of 2450682864 in words is "two billion, four hundred fifty million, six hundred eighty-two thousand, eight hundred sixty-four".