2682993456 has 400 divisors, whose sum is σ = 9437395968. Its totient is φ = 724723200.

The previous prime is 2682993451. The next prime is 2682993461. The reversal of 2682993456 is 6543992862.

It is a happy number.

2682993456 is a `hidden beast` number, since 2 + 6 + 8 + 299 + 345 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2682993451) and next prime (2682993461).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2682993451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5744935 + ... + 5745401.

Almost surely, 2^2682993456 is an apocalyptic number.

2682993456 is a gapful number since it is divisible by the number (26) 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 2682993456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718697984).

2682993456 is an abundant number, since it is smaller than the sum of its proper divisors (6754402512).

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

2682993456 is a wasteful number, since it uses less digits than its factorization.

2682993456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 2682993456 is about 51797.6201769927. The cubic root of 2682993456 is about 1389.5468833447.

The spelling of 2682993456 in words is "two billion, six hundred eighty-two million, nine hundred ninety-three thousand, four hundred fifty-six".