2628232790400 has 2688 divisors, whose sum is σ = 12043698796800. Its totient is φ = 553063956480.

The previous prime is 2628232790371. The next prime is 2628232790441. The reversal of 2628232790400 is 40972328262.

2628232790400 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 232 + 7 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13341283102 + ... + 13341283298.

Almost surely, 2^{2628232790400} is an apocalyptic number.

2628232790400 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 2628232790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021849398400).

2628232790400 is an abundant number, since it is smaller than the sum of its proper divisors (9415466006400).

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

2628232790400 is a wasteful number, since it uses less digits than its factorization.

2628232790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2628232790400 in words is "two trillion, six hundred twenty-eight billion, two hundred thirty-two million, seven hundred ninety thousand, four hundred".