2010698640000 has 1120 divisors, whose sum is σ = 7836350940000. Its totient is φ = 512531712000.

The previous prime is 2010698639993. The next prime is 2010698640061. The reversal of 2010698640000 is 468960102.

2010698640000 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 6 + 9 + 8 + 640 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 139 ways as a sum of consecutive naturals, for example, 1341359251 + ... + 1341360749.

Almost surely, 2^{2010698640000} is an apocalyptic number.

2010698640000 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 2010698640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918175470000).

2010698640000 is an abundant number, since it is smaller than the sum of its proper divisors (5825652300000).

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

2010698640000 is an frugal number, since it uses more digits than its factorization.

2010698640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 2010698640000 in words is "two trillion, ten billion, six hundred ninety-eight million, six hundred forty thousand".