2620070400 has 360 divisors, whose sum is σ = 9069410592. Its totient is φ = 666624000.

The previous prime is 2620070389. The next prime is 2620070419. The reversal of 2620070400 is 40700262.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36902365 + ... + 36902435.

Almost surely, 2^2620070400 is an apocalyptic number.

2620070400 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 2620070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534705296).

2620070400 is an abundant number, since it is smaller than the sum of its proper divisors (6449340192).

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

2620070400 is an equidigital number, since it uses as much as digits as its factorization.

2620070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2620070400 is about 51186.6232525647. The cubic root of 2620070400 is about 1378.5980300890.

Adding to 2620070400 its reverse (40700262), we get a palindrome (2660770662).

The spelling of 2620070400 in words is "two billion, six hundred twenty million, seventy thousand, four hundred".