2769464880 has 480 divisors, whose sum is σ = 11725249536. Its totient is φ = 570157056.

The previous prime is 2769464869. The next prime is 2769464921. The reversal of 2769464880 is 884649672.

2769464880 is a `hidden beast` number, since 2 + 76 + 94 + 6 + 488 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2816869 + ... + 2817851.

Almost surely, 2^2769464880 is an apocalyptic number.

2769464880 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 2769464880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862624768).

2769464880 is an abundant number, since it is smaller than the sum of its proper divisors (8955784656).

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

2769464880 is a wasteful number, since it uses less digits than its factorization.

2769464880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2769464880 is about 52625.7055059597. The cubic root of 2769464880 is about 1404.3174337649.

The spelling of 2769464880 in words is "two billion, seven hundred sixty-nine million, four hundred sixty-four thousand, eight hundred eighty".