2761155672 has 64 divisors (see below), whose sum is σ = 7564354560. Its totient is φ = 832944000.

The previous prime is 2761155653. The next prime is 2761155679. The reversal of 2761155672 is 2765511672.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761155679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35422 + ... + 82322.

It is an arithmetic number, because the mean of its divisors is an integer number (118193040).

Almost surely, 2^2761155672 is an apocalyptic number.

2761155672 is a gapful number since it is divisible by the number (22) 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 2761155672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782177280).

2761155672 is an abundant number, since it is smaller than the sum of its proper divisors (4803198888).

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

2761155672 is a wasteful number, since it uses less digits than its factorization.

2761155672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47144 (or 47140 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 2761155672 is about 52546.6999154086. The cubic root of 2761155672 is about 1402.9115719156.

The spelling of 2761155672 in words is "two billion, seven hundred sixty-one million, one hundred fifty-five thousand, six hundred seventy-two".