2801552400 has 240 divisors, whose sum is σ = 10558699200. Its totient is φ = 703088640.

The previous prime is 2801552393. The next prime is 2801552441. The reversal of 2801552400 is 42551082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 175971 + ... + 191229.

It is an arithmetic number, because the mean of its divisors is an integer number (43994580).

Almost surely, 2^2801552400 is an apocalyptic number.

2801552400 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 2801552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279349600).

2801552400 is an abundant number, since it is smaller than the sum of its proper divisors (7757146800).

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

2801552400 is a wasteful number, since it uses less digits than its factorization.

2801552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15303 (or 15286 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2801552400 is about 52929.6929898521. The cubic root of 2801552400 is about 1409.7201798729.

The spelling of 2801552400 in words is "two billion, eight hundred one million, five hundred fifty-two thousand, four hundred".