2552784801 has 24 divisors (see below), whose sum is σ = 4026543840. Its totient is φ = 1434004992.

The previous prime is 2552784799. The next prime is 2552784809. The reversal of 2552784801 is 1084872552.

It is not a de Polignac number, because 2552784801 - 2¹ = 2552784799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2552784809) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 138496 + ... + 155841.

It is an arithmetic number, because the mean of its divisors is an integer number (167772660).

Almost surely, 2^2552784801 is an apocalyptic number.

2552784801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2552784801 is a deficient number, since it is larger than the sum of its proper divisors (1473759039).

2552784801 is a wasteful number, since it uses less digits than its factorization.

2552784801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294413 (or 294406 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The square root of 2552784801 is about 50525.0908064498. The cubic root of 2552784801 is about 1366.6943587951.

The spelling of 2552784801 in words is "two billion, five hundred fifty-two million, seven hundred eighty-four thousand, eight hundred one".