2620416100 has 27 divisors (see below), whose sum is σ = 5687413977. Its totient is φ = 1047961680.

The previous prime is 2620416049. The next prime is 2620416107. The reversal of 2620416100 is 16140262.

The square root of 2620416100 is 51190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 943349796 + 1677066304 = 30714^2 + 40952^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2620416107) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 509341 + ... + 514459.

Almost surely, 2^2620416100 is an apocalyptic number.

2620416100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2620416100 is the 51190-th square number.

It is an amenable number.

2620416100 is an abundant number, since it is smaller than the sum of its proper divisors (3066997877).

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

2620416100 is an frugal number, since it uses more digits than its factorization.

2620416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 5126 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The cubic root of 2620416100 is about 1378.6586595515.

Multiplying 2620416100 by its product of nonzero digits (576), we get a square (1509359673600 = 1228560²).

Adding to 2620416100 its reverse (16140262), we get a palindrome (2636556362).

The spelling of 2620416100 in words is "two billion, six hundred twenty million, four hundred sixteen thousand, one hundred".