2048292261440 has 224 divisors, whose sum is σ = 5226125184000. Its totient is φ = 762757529600.

The previous prime is 2048292261439. The next prime is 2048292261503. The reversal of 2048292261440 is 441622928402.

It is a super-3 number, since 3×2048292261440³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2048292261391 and 2048292261400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130050686 + ... + 130066434.

It is an arithmetic number, because the mean of its divisors is an integer number (23330916000).

Almost surely, 2^{2048292261440} is an apocalyptic number.

2048292261440 is a gapful number since it is divisible by the number (20) 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 2048292261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2613062592000).

2048292261440 is an abundant number, since it is smaller than the sum of its proper divisors (3177832922560).

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

2048292261440 is a wasteful number, since it uses less digits than its factorization.

2048292261440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16261 (or 16251 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 2048292261440 in words is "two trillion, forty-eight billion, two hundred ninety-two million, two hundred sixty-one thousand, four hundred forty".