2010401003520 has 2304 divisors, whose sum is σ = 9272600064000. Its totient is φ = 390812663808.

The previous prime is 2010401003519. The next prime is 2010401003609. The reversal of 2010401003520 is 253001040102.

2010401003520 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 40 + 100 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010401003493 and 2010401003502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8411719561 + ... + 8411719799.

It is an arithmetic number, because the mean of its divisors is an integer number (4024566000).

Almost surely, 2^{2010401003520} is an apocalyptic number.

2010401003520 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 2010401003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636300032000).

2010401003520 is an abundant number, since it is smaller than the sum of its proper divisors (7262199060480).

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

2010401003520 is a wasteful number, since it uses less digits than its factorization.

2010401003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 2010401003520 its reverse (253001040102), we get a palindrome (2263402043622).

The spelling of 2010401003520 in words is "two trillion, ten billion, four hundred one million, three thousand, five hundred twenty".