2104400736 has 240 divisors, whose sum is σ = 6439910400. Its totient is φ = 673650432.

The previous prime is 2104400729. The next prime is 2104400773. The reversal of 2104400736 is 6370044012.

2104400736 is a `hidden beast` number, since 210 + 440 + 0 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8804905 + ... + 8805143.

It is an arithmetic number, because the mean of its divisors is an integer number (26832960).

Almost surely, 2^2104400736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104400736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219955200).

2104400736 is an abundant number, since it is smaller than the sum of its proper divisors (4335509664).

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

2104400736 is a wasteful number, since it uses less digits than its factorization.

2104400736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2104400736 is about 45873.7477867244. The cubic root of 2104400736 is about 1281.4730632180.

Adding to 2104400736 its reverse (6370044012), we get a palindrome (8474444748).

The spelling of 2104400736 in words is "two billion, one hundred four million, four hundred thousand, seven hundred thirty-six".