2611146720 has 192 divisors, whose sum is σ = 10123384320. Its totient is φ = 550914048.

The previous prime is 2611146701. The next prime is 2611146743. The reversal of 2611146720 is 276411162.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13791 + ... + 73569.

It is an arithmetic number, because the mean of its divisors is an integer number (52725960).

Almost surely, 2^2611146720 is an apocalyptic number.

2611146720 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 2611146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061692160).

2611146720 is an abundant number, since it is smaller than the sum of its proper divisors (7512237600).

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

2611146720 is a wasteful number, since it uses less digits than its factorization.

2611146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59817 (or 59809 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2611146720 is about 51099.3808181665. The cubic root of 2611146720 is about 1377.0311306169.

Adding to 2611146720 its reverse (276411162), we get a palindrome (2887557882).

It can be divided in two parts, 2611 and 146720, that added together give a triangular number (149331 = T₅₄₆).

The spelling of 2611146720 in words is "two billion, six hundred eleven million, one hundred forty-six thousand, seven hundred twenty".