2610768952 has 16 divisors (see below), whose sum is σ = 5340209400. Its totient is φ = 1186713120.

The previous prime is 2610768947. The next prime is 2610768959. The reversal of 2610768952 is 2598670162.

2610768952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2610768952² = 13632229041454356608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2610768959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14833827 + ... + 14834002.

Almost surely, 2^2610768952 is an apocalyptic number.

2610768952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2610768952 is an abundant number, since it is smaller than the sum of its proper divisors (2729440448).

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

2610768952 is a wasteful number, since it uses less digits than its factorization.

2610768952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29667846 (or 29667842 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 2610768952 is about 51095.6842795945. The cubic root of 2610768952 is about 1376.9647200267.

It can be divided in two parts, 26107 and 68952, that added together give a palindrome (95059).

The spelling of 2610768952 in words is "two billion, six hundred ten million, seven hundred sixty-eight thousand, nine hundred fifty-two".