2010352223040 has 896 divisors, whose sum is σ = 7934503661568. Its totient is φ = 420762746880.

The previous prime is 2010352222939. The next prime is 2010352223071. The reversal of 2010352223040 is 403222530102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2010352223040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1557204795 + ... + 1557206085.

Almost surely, 2^{2010352223040} is an apocalyptic number.

2010352223040 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 2010352223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967251830784).

2010352223040 is an abundant number, since it is smaller than the sum of its proper divisors (5924151438528).

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

2010352223040 is a wasteful number, since it uses less digits than its factorization.

2010352223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 2010352223040 its reverse (403222530102), we get a palindrome (2413574753142).

The spelling of 2010352223040 in words is "two trillion, ten billion, three hundred fifty-two million, two hundred twenty-three thousand, forty".