2001137400 has 120 divisors (see below), whose sum is σ = 6950302920. Its totient is φ = 533632320.

The previous prime is 2001137357. The next prime is 2001137401. The reversal of 2001137400 is 47311002.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001137401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 45564 + ... + 77963.

It is an arithmetic number, because the mean of its divisors is an integer number (57919191).

Almost surely, 2^2001137400 is an apocalyptic number.

2001137400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001137400 is an abundant number, since it is smaller than the sum of its proper divisors (4949165520).

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

2001137400 is a wasteful number, since it uses less digits than its factorization.

2001137400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123555 (or 123537 counting only the distinct ones).

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

The square root of 2001137400 is about 44734.0742611267. The cubic root of 2001137400 is about 1260.1598436669.

Adding to 2001137400 its reverse (47311002), we get a palindrome (2048448402).

The spelling of 2001137400 in words is "two billion, one million, one hundred thirty-seven thousand, four hundred".