2621716400 has 120 divisors (see below), whose sum is σ = 6608297280. Its totient is φ = 998369280.

The previous prime is 2621716399. The next prime is 2621716411. The reversal of 2621716400 is 46171262.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693716 + ... + 697484.

It is an arithmetic number, because the mean of its divisors is an integer number (55069144).

Almost surely, 2^2621716400 is an apocalyptic number.

2621716400 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 2621716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304148640).

2621716400 is an abundant number, since it is smaller than the sum of its proper divisors (3986580880).

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

2621716400 is a wasteful number, since it uses less digits than its factorization.

2621716400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3871 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 2621716400 is about 51202.6991476035. The cubic root of 2621716400 is about 1378.8866606716.

Adding to 2621716400 its reverse (46171262), we get a palindrome (2667887662).

The spelling of 2621716400 in words is "two billion, six hundred twenty-one million, seven hundred sixteen thousand, four hundred".