2007487941888 has 288 divisors, whose sum is σ = 6285886709760. Its totient is φ = 560732037120.

The previous prime is 2007487941863. The next prime is 2007487941917. The reversal of 2007487941888 is 8881497847002.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 78950745 + ... + 78976167.

It is an arithmetic number, because the mean of its divisors is an integer number (21825995520).

Almost surely, 2^{2007487941888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007487941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142943354880).

2007487941888 is an abundant number, since it is smaller than the sum of its proper divisors (4278398767872).

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

2007487941888 is a wasteful number, since it uses less digits than its factorization.

2007487941888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26185 (or 26171 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 66.

The spelling of 2007487941888 in words is "two trillion, seven billion, four hundred eighty-seven million, nine hundred forty-one thousand, eight hundred eighty-eight".