2010414225040 has 60 divisors (see below), whose sum is σ = 5061426024564. Its totient is φ = 742306785792.

The previous prime is 2010414225031. The next prime is 2010414225047. The reversal of 2010414225040 is 405224140102.

It can be written as a sum of positive squares in 6 ways, for example, as 704632651776 + 1305781573264 = 839424^2 + 1142708^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2010414224996 and 2010414225014.

It is not an unprimeable number, because it can be changed into a prime (2010414225047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74336119 + ... + 74363158.

Almost surely, 2^{2010414225040} is an apocalyptic number.

2010414225040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010414225040 is an abundant number, since it is smaller than the sum of its proper divisors (3051011799524).

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

2010414225040 is a wasteful number, since it uses less digits than its factorization.

2010414225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148699316 (or 148699297 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 2010414225040 its reverse (405224140102), we get a palindrome (2415638365142).

The spelling of 2010414225040 in words is "two trillion, ten billion, four hundred fourteen million, two hundred twenty-five thousand, forty".