2533411214400 has 672 divisors, whose sum is σ = 9377079828480. Its totient is φ = 593252352000.

The previous prime is 2533411214393. The next prime is 2533411214437. The reversal of 2533411214400 is 44121143352.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1189952536 + ... + 1189954664.

It is an arithmetic number, because the mean of its divisors is an integer number (13953987840).

Almost surely, 2^{2533411214400} is an apocalyptic number.

2533411214400 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 2533411214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688539914240).

2533411214400 is an abundant number, since it is smaller than the sum of its proper divisors (6843668614080).

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

2533411214400 is a wasteful number, since it uses less digits than its factorization.

2533411214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2533411214400 its reverse (44121143352), we get a palindrome (2577532357752).

The spelling of 2533411214400 in words is "two trillion, five hundred thirty-three billion, four hundred eleven million, two hundred fourteen thousand, four hundred".