2628552297600 has 1536 divisors, whose sum is σ = 10524754944000. Its totient is φ = 638901043200.

The previous prime is 2628552297599. The next prime is 2628552297659. The reversal of 2628552297600 is 67922558262.

2628552297600 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 5 + 5 + 2 + 29 + 7 + 600 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3339964407 + ... + 3339965193.

It is an arithmetic number, because the mean of its divisors is an integer number (6852054000).

Almost surely, 2^{2628552297600} is an apocalyptic number.

2628552297600 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 2628552297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262377472000).

2628552297600 is an abundant number, since it is smaller than the sum of its proper divisors (7896202646400).

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

2628552297600 is a wasteful number, since it uses less digits than its factorization.

2628552297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 2628552297600 in words is "two trillion, six hundred twenty-eight billion, five hundred fifty-two million, two hundred ninety-seven thousand, six hundred".