2704041600 has 384 divisors, whose sum is σ = 9816871680. Its totient is φ = 650035200.

The previous prime is 2704041551. The next prime is 2704041649. The reversal of 2704041600 is 61404072.

It is an interprime number because it is at equal distance from previous prime (2704041551) and next prime (2704041649).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5865370 + ... + 5865830.

It is an arithmetic number, because the mean of its divisors is an integer number (25564770).

Almost surely, 2^2704041600 is an apocalyptic number.

2704041600 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 2704041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908435840).

2704041600 is an abundant number, since it is smaller than the sum of its proper divisors (7112830080).

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

2704041600 is a wasteful number, since it uses less digits than its factorization.

2704041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2704041600 is about 52000.3999984616. The cubic root of 2704041600 is about 1393.1710979704.

Adding to 2704041600 its reverse (61404072), we get a palindrome (2765445672).

It can be divided in two parts, 27040 and 41600, that multiplied together give a cube (1124864000 = 1040³).

The spelling of 2704041600 in words is "two billion, seven hundred four million, forty-one thousand, six hundred".