2801761456 has 40 divisors (see below), whose sum is σ = 6047581680. Its totient is φ = 1248527616.

The previous prime is 2801761453. The next prime is 2801761477. The reversal of 2801761456 is 6541671082.

It is not an unprimeable number, because it can be changed into a prime (2801761453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226210 + ... + 238273.

It is an arithmetic number, because the mean of its divisors is an integer number (151189542).

Almost surely, 2^2801761456 is an apocalyptic number.

2801761456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2801761456 is an abundant number, since it is smaller than the sum of its proper divisors (3245820224).

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

2801761456 is a wasteful number, since it uses less digits than its factorization.

2801761456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464533 (or 464527 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 2801761456 is about 52931.6677991540. The cubic root of 2801761456 is about 1409.7552441384.

The spelling of 2801761456 in words is "two billion, eight hundred one million, seven hundred sixty-one thousand, four hundred fifty-six".