2626480800 has 216 divisors, whose sum is σ = 9308216736. Its totient is φ = 696875520.

The previous prime is 2626480763. The next prime is 2626480811. The reversal of 2626480800 is 80846262.

2626480800 is a `hidden beast` number, since 2 + 6 + 2 + 648 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1633597 + ... + 1635203.

It is an arithmetic number, because the mean of its divisors is an integer number (43093596).

Almost surely, 2^2626480800 is an apocalyptic number.

2626480800 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 2626480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654108368).

2626480800 is an abundant number, since it is smaller than the sum of its proper divisors (6681735936).

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

2626480800 is a wasteful number, since it uses less digits than its factorization.

2626480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2626480800 is about 51249.2029206309. The cubic root of 2626480800 is about 1379.7214308539.

The spelling of 2626480800 in words is "two billion, six hundred twenty-six million, four hundred eighty thousand, eight hundred".