2765197152 has 144 divisors (see below), whose sum is σ = 8372512512. Its totient is φ = 862679040.

The previous prime is 2765197147. The next prime is 2765197217. The reversal of 2765197152 is 2517915672.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2765197152² = 15292630578857822208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2765197098 and 2765197107.

It is a congruent number.

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, 933658 + ... + 936614.

It is an arithmetic number, because the mean of its divisors is an integer number (58142448).

Almost surely, 2^2765197152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186256256).

2765197152 is an abundant number, since it is smaller than the sum of its proper divisors (5607315360).

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

2765197152 is a wasteful number, since it uses less digits than its factorization.

2765197152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3170 counting only the distinct ones).

The product of its digits is 264600, while the sum is 45.

The square root of 2765197152 is about 52585.1419319184. The cubic root of 2765197152 is about 1403.5957147989.

The spelling of 2765197152 in words is "two billion, seven hundred sixty-five million, one hundred ninety-seven thousand, one hundred fifty-two".