2011401000 has 288 divisors, whose sum is σ = 7910234280. Its totient is φ = 459648000.

The previous prime is 2011400999. The next prime is 2011401011. The reversal of 2011401000 is 1041102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 442765764 + 1568635236 = 21042^2 + 39606^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 438720 + ... + 443280.

Almost surely, 2^2011401000 is an apocalyptic number.

2011401000 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 2011401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955117140).

2011401000 is an abundant number, since it is smaller than the sum of its proper divisors (5898833280).

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

2011401000 is a wasteful number, since it uses less digits than its factorization.

2011401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011401000 is about 44848.6454644954. The cubic root of 2011401000 is about 1262.3105751158.

Adding to 2011401000 its reverse (1041102), we get a palindrome (2012442102).

The spelling of 2011401000 in words is "two billion, eleven million, four hundred one thousand".