2087862349440 has 512 divisors, whose sum is σ = 8067984445440. Its totient is φ = 448328171520.

The previous prime is 2087862349427. The next prime is 2087862349481. The reversal of 2087862349440 is 449432687802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128626125 + ... + 128642355.

It is an arithmetic number, because the mean of its divisors is an integer number (15757782120).

Almost surely, 2^{2087862349440} is an apocalyptic number.

2087862349440 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 2087862349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033992222720).

2087862349440 is an abundant number, since it is smaller than the sum of its proper divisors (5980122096000).

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

2087862349440 is a wasteful number, since it uses less digits than its factorization.

2087862349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16840 (or 16828 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 2087862349440 in words is "two trillion, eighty-seven billion, eight hundred sixty-two million, three hundred forty-nine thousand, four hundred forty".