2628934963200 has 2808 divisors, whose sum is σ = 12314266572608. Its totient is φ = 541776936960.

The previous prime is 2628934963199. The next prime is 2628934963201. The reversal of 2628934963200 is 23694398262.

2628934963200 is a `hidden beast` number, since 2 + 6 + 289 + 34 + 9 + 6 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2628934963199) and next prime (2628934963201).

It is a tau number, because it is divible by the number of its divisors (2808).

It is a super-2 number, since 2×2628934963200² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2628934963201) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 61138022379 + ... + 61138022421.

Almost surely, 2^{2628934963200} is an apocalyptic number.

2628934963200 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 2628934963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157133286304).

2628934963200 is an abundant number, since it is smaller than the sum of its proper divisors (9685331609408).

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

2628934963200 is an frugal number, since it uses more digits than its factorization.

2628934963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 2628934963200 in words is "two trillion, six hundred twenty-eight billion, nine hundred thirty-four million, nine hundred sixty-three thousand, two hundred".