2801004562400 has 144 divisors (see below), whose sum is σ = 7586019463680. Its totient is φ = 1001283417600.

The previous prime is 2801004562381. The next prime is 2801004562493. The reversal of 2801004562400 is 42654001082.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2178224 + ... + 3216623.

It is an arithmetic number, because the mean of its divisors is an integer number (52680690720).

Almost surely, 2^{2801004562400} is an apocalyptic number.

2801004562400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2801004562400 is an abundant number, since it is smaller than the sum of its proper divisors (4785014901280).

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

2801004562400 is a wasteful number, since it uses less digits than its factorization.

2801004562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394937 (or 5394924 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 2801004562400 its reverse (42654001082), we get a palindrome (2843658563482).

The spelling of 2801004562400 in words is "two trillion, eight hundred one billion, four million, five hundred sixty-two thousand, four hundred".