2087538735744 has 2048 divisors, whose sum is σ = 8742297600000. Its totient is φ = 473636782080.

The previous prime is 2087538735731. The next prime is 2087538735749. The reversal of 2087538735744 is 4475378357802.

It is a happy number.

2087538735744 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 53 + 8 + 7 + 3 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2087538735749) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3372437067 + ... + 3372437685.

It is an arithmetic number, because the mean of its divisors is an integer number (4268700000).

Almost surely, 2^{2087538735744} is an apocalyptic number.

2087538735744 is a gapful number since it is divisible by the number (24) 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 2087538735744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371148800000).

2087538735744 is an abundant number, since it is smaller than the sum of its proper divisors (6654758864256).

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

2087538735744 is a wasteful number, since it uses less digits than its factorization.

2087538735744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 63.

It can be divided in two parts, 2087538 and 735744, that added together give a palindrome (2823282).

The spelling of 2087538735744 in words is "two trillion, eighty-seven billion, five hundred thirty-eight million, seven hundred thirty-five thousand, seven hundred forty-four".