2604474000 has 480 divisors, whose sum is σ = 9885867264. Its totient is φ = 661478400.

The previous prime is 2604473987. The next prime is 2604474029. The reversal of 2604474000 is 4744062.

2604474000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11177884 + ... + 11178116.

Almost surely, 2^2604474000 is an apocalyptic number.

2604474000 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 2604474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942933632).

2604474000 is an abundant number, since it is smaller than the sum of its proper divisors (7281393264).

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

2604474000 is a wasteful number, since it uses less digits than its factorization.

2604474000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2604474000 is about 51034.0474585350. The cubic root of 2604474000 is about 1375.8571405002.

The spelling of 2604474000 in words is "two billion, six hundred four million, four hundred seventy-four thousand".