1024000000002 has 128 divisors (see below), whose sum is σ = 2629688033280. Its totient is φ = 289318055040.

The previous prime is 1023999999991. The next prime is 1024000000061. The reversal of 1024000000002 is 2000000004201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14703102 + ... + 14772582.

It is an arithmetic number, because the mean of its divisors is an integer number (20544437760).

Almost surely, 2^{1024000000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024000000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314844016640).

1024000000002 is an abundant number, since it is smaller than the sum of its proper divisors (1605688033278).

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

1024000000002 is a wasteful number, since it uses less digits than its factorization.

1024000000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69933 (or 69927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 1024000000002 its reverse (2000000004201), we get a palindrome (3024000004203).

The spelling of 1024000000002 in words is "one trillion, twenty-four billion, two", and thus it is an aban number.