2010712659948 has 288 divisors, whose sum is σ = 5504727900672. Its totient is φ = 617526374400.

The previous prime is 2010712659931. The next prime is 2010712659953. The reversal of 2010712659948 is 8499562170102.

It is a happy number.

2010712659948 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 7 + 1 + 2 + 6 + 599 + 48 = 666.

It is a super-3 number, since 3×2010712659948³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2010712659894 and 2010712659903.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1008886440 + ... + 1008888432.

It is an arithmetic number, because the mean of its divisors is an integer number (19113638544).

Almost surely, 2^{2010712659948} 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 2010712659948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752363950336).

2010712659948 is an abundant number, since it is smaller than the sum of its proper divisors (3494015240724).

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

2010712659948 is a wasteful number, since it uses less digits than its factorization.

2010712659948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2010712659948 in words is "two trillion, ten billion, seven hundred twelve million, six hundred fifty-nine thousand, nine hundred forty-eight".