2678462640 has 300 divisors, whose sum is σ = 10675586064. Its totient is φ = 612220032.

The previous prime is 2678462609. The next prime is 2678462641. The reversal of 2678462640 is 462648762.

It is a super-2 number, since 2×2678462640² = 14348324227751539200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2678462641) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 382637517 + ... + 382637523.

Almost surely, 2^2678462640 is an apocalyptic number.

2678462640 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 2678462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337793032).

2678462640 is an abundant number, since it is smaller than the sum of its proper divisors (7997123424).

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

2678462640 is an frugal number, since it uses more digits than its factorization.

2678462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2678462640 is about 51753.8659425554. The cubic root of 2678462640 is about 1388.7642589348.

The spelling of 2678462640 in words is "two billion, six hundred seventy-eight million, four hundred sixty-two thousand, six hundred forty".