2048262714624 has 144 divisors (see below), whose sum is σ = 6237250694528. Its totient is φ = 584549277696.

The previous prime is 2048262714599. The next prime is 2048262714647. The reversal of 2048262714624 is 4264172628402.

It is a super-2 number, since 2×2048262714624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4497534 + ... + 4931970.

Almost surely, 2^{2048262714624} is an apocalyptic number.

2048262714624 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 2048262714624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118625347264).

2048262714624 is an abundant number, since it is smaller than the sum of its proper divisors (4188987979904).

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

2048262714624 is an equidigital number, since it uses as much as digits as its factorization.

2048262714624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435340 (or 435326 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 2048262714624 in words is "two trillion, forty-eight billion, two hundred sixty-two million, seven hundred fourteen thousand, six hundred twenty-four".