2050690981248 has 2304 divisors, whose sum is σ = 8212921516800. Its totient is φ = 503902715904.

The previous prime is 2050690981223. The next prime is 2050690981271. The reversal of 2050690981248 is 8421890960502.

It is a happy number.

2050690981248 is a `hidden beast` number, since 2 + 0 + 506 + 9 + 0 + 9 + 8 + 124 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2050690981194 and 2050690981203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24707120215 + ... + 24707120297.

It is an arithmetic number, because the mean of its divisors is an integer number (3564636075).

Almost surely, 2^{2050690981248} is an apocalyptic number.

2050690981248 is a gapful number since it is divisible by the number (28) 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 2050690981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106460758400).

2050690981248 is an abundant number, since it is smaller than the sum of its proper divisors (6162230535552).

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

2050690981248 is a wasteful number, since it uses less digits than its factorization.

2050690981248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 2050690981248 in words is "two trillion, fifty billion, six hundred ninety million, nine hundred eighty-one thousand, two hundred forty-eight".