2048772870144 has 2080 divisors, whose sum is σ = 8525140377600. Its totient is φ = 472979865600.

The previous prime is 2048772870127. The next prime is 2048772870149. The reversal of 2048772870144 is 4410782778402.

2048772870144 is a `hidden beast` number, since 2 + 0 + 487 + 72 + 87 + 0 + 14 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2048772870149) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10295340957 + ... + 10295341155.

Almost surely, 2^{2048772870144} is an apocalyptic number.

2048772870144 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 2048772870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262570188800).

2048772870144 is an abundant number, since it is smaller than the sum of its proper divisors (6476367507456).

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

2048772870144 is a wasteful number, since it uses less digits than its factorization.

2048772870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 2048772870144 in words is "two trillion, forty-eight billion, seven hundred seventy-two million, eight hundred seventy thousand, one hundred forty-four".