2088061208640 has 1344 divisors, whose sum is σ = 8837903063808. Its totient is φ = 463424716800.

The previous prime is 2088061208621. The next prime is 2088061208659. The reversal of 2088061208640 is 468021608802.

2088061208640 is a `hidden beast` number, since 20 + 8 + 8 + 0 + 612 + 0 + 8 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2088061208621) and next prime (2088061208659).

It is a super-2 number, since 2×2088061208640² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538019500 + ... + 538023380.

It is an arithmetic number, because the mean of its divisors is an integer number (6575820732).

Almost surely, 2^{2088061208640} is an apocalyptic number.

2088061208640 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 2088061208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418951531904).

2088061208640 is an abundant number, since it is smaller than the sum of its proper divisors (6749841855168).

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

2088061208640 is a wasteful number, since it uses less digits than its factorization.

2088061208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3956 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 2088061208640 in words is "two trillion, eighty-eight billion, sixty-one million, two hundred eight thousand, six hundred forty".