2683121483952 has 1600 divisors, whose sum is σ = 10647318528000. Its totient is φ = 632167151616.

The previous prime is 2683121483951. The next prime is 2683121483957. The reversal of 2683121483952 is 2593841213862.

2683121483952 is a `hidden beast` number, since 2 + 6 + 8 + 31 + 214 + 8 + 395 + 2 = 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 (2683121483951) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4071504199 + ... + 4071504857.

It is an arithmetic number, because the mean of its divisors is an integer number (6654574080).

Almost surely, 2^{2683121483952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2683121483952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323659264000).

2683121483952 is an abundant number, since it is smaller than the sum of its proper divisors (7964197044048).

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

2683121483952 is a wasteful number, since it uses less digits than its factorization.

2683121483952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 2683121483952 in words is "two trillion, six hundred eighty-three billion, one hundred twenty-one million, four hundred eighty-three thousand, nine hundred fifty-two".