2048260767 has 32 divisors (see below), whose sum is σ = 3145605120. Its totient is φ = 1161306720.

The previous prime is 2048260757. The next prime is 2048260783. The reversal of 2048260767 is 7670628402.

It is not a de Polignac number, because 2048260767 - 2¹⁵ = 2048227999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048260717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228334 + ... + 2229252.

It is an arithmetic number, because the mean of its divisors is an integer number (98300160).

Almost surely, 2^2048260767 is an apocalyptic number.

2048260767 is a deficient number, since it is larger than the sum of its proper divisors (1097344353).

2048260767 is a wasteful number, since it uses less digits than its factorization.

2048260767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643.

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2048260767 is about 45257.7149997655. The cubic root of 2048260767 is about 1269.9747379603.

The spelling of 2048260767 in words is "two billion, forty-eight million, two hundred sixty thousand, seven hundred sixty-seven".