2090511521280 has 1280 divisors, whose sum is σ = 9214770216960. Its totient is φ = 437434712064.

The previous prime is 2090511521227. The next prime is 2090511521281. The reversal of 2090511521280 is 821251150902.

2090511521280 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 51 + 1 + 521 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2090511521281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 798818532 + ... + 798821148.

It is an arithmetic number, because the mean of its divisors is an integer number (7199039232).

Almost surely, 2^{2090511521280} is an apocalyptic number.

2090511521280 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 2090511521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607385108480).

2090511521280 is an abundant number, since it is smaller than the sum of its proper divisors (7124258695680).

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

2090511521280 is a wasteful number, since it uses less digits than its factorization.

2090511521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 2090511521280 in words is "two trillion, ninety billion, five hundred eleven million, five hundred twenty-one thousand, two hundred eighty".