2620826400 has 144 divisors (see below), whose sum is σ = 8562201984. Its totient is φ = 696314880.

The previous prime is 2620826399. The next prime is 2620826407. The reversal of 2620826400 is 46280262.

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

It is not an unprimeable number, because it can be changed into a prime (2620826407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701337 + ... + 705063.

It is an arithmetic number, because the mean of its divisors is an integer number (59459736).

Almost surely, 2^2620826400 is an apocalyptic number.

2620826400 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 2620826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281100992).

2620826400 is an abundant number, since it is smaller than the sum of its proper divisors (5941375584).

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

2620826400 is a wasteful number, since it uses less digits than its factorization.

2620826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2620826400 is about 51194.0074618114. The cubic root of 2620826400 is about 1378.7306117536.

The spelling of 2620826400 in words is "two billion, six hundred twenty million, eight hundred twenty-six thousand, four hundred".