2687952480 has 96 divisors (see below), whose sum is σ = 8474354784. Its totient is φ = 716169216.

The previous prime is 2687952473. The next prime is 2687952481. The reversal of 2687952480 is 842597862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687952481) 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 15 ways as a sum of consecutive naturals, for example, 926392 + ... + 929288.

It is an arithmetic number, because the mean of its divisors is an integer number (88274529).

Almost surely, 2^2687952480 is an apocalyptic number.

2687952480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2687952480 is an abundant number, since it is smaller than the sum of its proper divisors (5786402304).

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

2687952480 is a wasteful number, since it uses less digits than its factorization.

2687952480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 2687952480 is about 51845.4673042880. The cubic root of 2687952480 is about 1390.4024644149.

The spelling of 2687952480 in words is "two billion, six hundred eighty-seven million, nine hundred fifty-two thousand, four hundred eighty".