2603400122400 has 288 divisors, whose sum is σ = 10565071792128. Its totient is φ = 540966220800.

The previous prime is 2603400122371. The next prime is 2603400122417. The reversal of 2603400122400 is 42210043062.

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

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, 6859032 + ... + 7228631.

It is an arithmetic number, because the mean of its divisors is an integer number (36684277056).

Almost surely, 2^{2603400122400} is an apocalyptic number.

2603400122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2603400122400 is an abundant number, since it is smaller than the sum of its proper divisors (7961671669728).

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

2603400122400 is a wasteful number, since it uses less digits than its factorization.

2603400122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087704 (or 14087691 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2603400122400 its reverse (42210043062), we get a palindrome (2645610165462).

The spelling of 2603400122400 in words is "two trillion, six hundred three billion, four hundred million, one hundred twenty-two thousand, four hundred".