2582798400 has 1008 divisors, whose sum is σ = 11877267584. Its totient is φ = 537477120.

The previous prime is 2582798369. The next prime is 2582798437. The reversal of 2582798400 is 48972852.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×2582798400³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35380764 + ... + 35380836.

Almost surely, 2^2582798400 is an apocalyptic number.

2582798400 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 2582798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938633792).

2582798400 is an abundant number, since it is smaller than the sum of its proper divisors (9294469184).

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

2582798400 is a wasteful number, since it uses less digits than its factorization.

2582798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2582798400 is about 50821.2396543020. The cubic root of 2582798400 is about 1372.0296695355.

The spelling of 2582798400 in words is "two billion, five hundred eighty-two million, seven hundred ninety-eight thousand, four hundred".