2011410420 has 192 divisors, whose sum is σ = 6290161920. Its totient is φ = 477847552.

The previous prime is 2011410347. The next prime is 2011410439. The reversal of 2011410420 is 240141102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2011410420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1567099 + ... + 1568381.

It is an arithmetic number, because the mean of its divisors is an integer number (32761260).

Almost surely, 2^2011410420 is an apocalyptic number.

2011410420 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 2011410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145080960).

2011410420 is an abundant number, since it is smaller than the sum of its proper divisors (4278751500).

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

2011410420 is a wasteful number, since it uses less digits than its factorization.

2011410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2011410420 is about 44848.7504842666. The cubic root of 2011410420 is about 1262.3125457070.

Adding to 2011410420 its reverse (240141102), we get a palindrome (2251551522).

The spelling of 2011410420 in words is "two billion, eleven million, four hundred ten thousand, four hundred twenty".