2049821346456 has 896 divisors, whose sum is σ = 6722070667200. Its totient is φ = 580475289600.

The previous prime is 2049821346407. The next prime is 2049821346467. The reversal of 2049821346456 is 6546431289402.

2049821346456 is a `hidden beast` number, since 2 + 0 + 49 + 82 + 13 + 464 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10620835896 + ... + 10620836088.

Almost surely, 2^{2049821346456} is an apocalyptic number.

2049821346456 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 2049821346456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361035333600).

2049821346456 is an abundant number, since it is smaller than the sum of its proper divisors (4672249320744).

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

2049821346456 is a wasteful number, since it uses less digits than its factorization.

2049821346456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2049821346456 in words is "two trillion, forty-nine billion, eight hundred twenty-one million, three hundred forty-six thousand, four hundred fifty-six".