2011370400 has 864 divisors, whose sum is σ = 8577576000. Its totient is φ = 452874240.

The previous prime is 2011370393. The next prime is 2011370407. The reversal of 2011370400 is 40731102.

It is an interprime number because it is at equal distance from previous prime (2011370393) and next prime (2011370407).

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2011370400² = 8091221771992320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2011370407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69357586 + ... + 69357614.

It is an arithmetic number, because the mean of its divisors is an integer number (9927750).

Almost surely, 2^2011370400 is an apocalyptic number.

2011370400 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 2011370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4288788000).

2011370400 is an abundant number, since it is smaller than the sum of its proper divisors (6566205600).

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

2011370400 is a wasteful number, since it uses less digits than its factorization.

2011370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2011370400 is about 44848.3043157710. The cubic root of 2011370400 is about 1262.3041737900.

The spelling of 2011370400 in words is "two billion, eleven million, three hundred seventy thousand, four hundred".