2048273644032 has 1280 divisors, whose sum is σ = 7842372341760. Its totient is φ = 512394854400.

The previous prime is 2048273644003. The next prime is 2048273644061. The reversal of 2048273644032 is 2304463728402.

2048273644032 is a `hidden beast` number, since 2 + 0 + 482 + 73 + 64 + 40 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2048273644003) and next prime (2048273644061).

It is a super-2 number, since 2×2048273644032² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5159379258 + ... + 5159379654.

It is an arithmetic number, because the mean of its divisors is an integer number (6126853392).

Almost surely, 2^{2048273644032} is an apocalyptic number.

2048273644032 is a gapful number since it is divisible by the number (22) 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 2048273644032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921186170880).

2048273644032 is an abundant number, since it is smaller than the sum of its proper divisors (5794098697728).

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

2048273644032 is a wasteful number, since it uses less digits than its factorization.

2048273644032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 2048273644032 in words is "two trillion, forty-eight billion, two hundred seventy-three million, six hundred forty-four thousand, thirty-two".