2024040400 has 90 divisors (see below), whose sum is σ = 5165922770. Its totient is φ = 761948160.

The previous prime is 2024040367. The next prime is 2024040409. The reversal of 2024040400 is 40404202.

It can be written as a sum of positive squares in 9 ways, for example, as 634838416 + 1389201984 = 25196^2 + 37272^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024040409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106846 + ... + 124354.

Almost surely, 2^2024040400 is an apocalyptic number.

2024040400 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 2024040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582961385).

2024040400 is an abundant number, since it is smaller than the sum of its proper divisors (3141882370).

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

2024040400 is a wasteful number, since it uses less digits than its factorization.

2024040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561 (or 17533 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 2024040400 is about 44989.3365143341. The cubic root of 2024040400 is about 1264.9491248996.

Adding to 2024040400 its reverse (40404202), we get a palindrome (2064444602).

The spelling of 2024040400 in words is "two billion, twenty-four million, forty thousand, four hundred".