2004077400 has 192 divisors, whose sum is σ = 6982053120. Its totient is φ = 471820800.

The previous prime is 2004077381. The next prime is 2004077407. The reversal of 2004077400 is 47704002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004077407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173815 + ... + 184985.

It is an arithmetic number, because the mean of its divisors is an integer number (36364860).

Almost surely, 2^2004077400 is an apocalyptic number.

2004077400 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 2004077400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491026560).

2004077400 is an abundant number, since it is smaller than the sum of its proper divisors (4977975720).

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

2004077400 is a wasteful number, since it uses less digits than its factorization.

2004077400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11217 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 2004077400 is about 44766.9230570965. The cubic root of 2004077400 is about 1260.7766690559.

The spelling of 2004077400 in words is "two billion, four million, seventy-seven thousand, four hundred".