2761049088 has 264 divisors, whose sum is σ = 9210386432. Its totient is φ = 780337152.

The previous prime is 2761049077. The next prime is 2761049111. The reversal of 2761049088 is 8809401672.

2761049088 is a `hidden beast` number, since 2 + 76 + 10 + 490 + 88 = 666.

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, 8192856 + ... + 8193192.

Almost surely, 2^2761049088 is an apocalyptic number.

2761049088 is a gapful number since it is divisible by the number (28) 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 2761049088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605193216).

2761049088 is an abundant number, since it is smaller than the sum of its proper divisors (6449337344).

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

2761049088 is a wasteful number, since it uses less digits than its factorization.

2761049088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2761049088 is about 52545.6857220457. The cubic root of 2761049088 is about 1402.8935203134.

The spelling of 2761049088 in words is "two billion, seven hundred sixty-one million, forty-nine thousand, eighty-eight".