2048466921984 has 240 divisors, whose sum is σ = 6764299521408. Its totient is φ = 584608260096.

The previous prime is 2048466921821. The next prime is 2048466921997. The reversal of 2048466921984 is 4891296648402.

2048466921984 is a `hidden beast` number, since 2 + 0 + 4 + 8 + 466 + 92 + 1 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 28575274 + ... + 28646870.

Almost surely, 2^{2048466921984} is an apocalyptic number.

2048466921984 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 2048466921984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382149760704).

2048466921984 is an abundant number, since it is smaller than the sum of its proper divisors (4715832599424).

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

2048466921984 is an equidigital number, since it uses as much as digits as its factorization.

2048466921984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72515 (or 72496 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 2048466921984 in words is "two trillion, forty-eight billion, four hundred sixty-six million, nine hundred twenty-one thousand, nine hundred eighty-four".