2090155714920 has 1536 divisors, whose sum is σ = 8842369536000. Its totient is φ = 425210591232.

The previous prime is 2090155714879. The next prime is 2090155714949. The reversal of 2090155714920 is 294175510902.

2090155714920 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 1 + 557 + 1 + 4 + 92 + 0 = 666.

It is a super-2 number, since 2×2090155714920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7385709099 + ... + 7385709381.

It is an arithmetic number, because the mean of its divisors is an integer number (5756751000).

Almost surely, 2^{2090155714920} is an apocalyptic number.

2090155714920 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 2090155714920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421184768000).

2090155714920 is an abundant number, since it is smaller than the sum of its proper divisors (6752213821080).

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

2090155714920 is a wasteful number, since it uses less digits than its factorization.

2090155714920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 2090155714920 in words is "two trillion, ninety billion, one hundred fifty-five million, seven hundred fourteen thousand, nine hundred twenty".