2687351040 has 288 divisors, whose sum is σ = 10404777600. Its totient is φ = 651386880.

The previous prime is 2687351021. The next prime is 2687351047. The reversal of 2687351040 is 401537862.

2687351040 is a `hidden beast` number, since 26 + 87 + 3 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2687351040² = 14443711224378163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2687350986 and 2687351004.

It is not an unprimeable number, because it can be changed into a prime (2687351047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376626 + ... + 383694.

It is an arithmetic number, because the mean of its divisors is an integer number (36127700).

Almost surely, 2^2687351040 is an apocalyptic number.

2687351040 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 2687351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202388800).

2687351040 is an abundant number, since it is smaller than the sum of its proper divisors (7717426560).

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

2687351040 is a wasteful number, since it uses less digits than its factorization.

2687351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7110 (or 7090 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2687351040 is about 51839.6666655950. Note that the first 5 decimals coincide. The cubic root of 2687351040 is about 1390.2987539955.

The spelling of 2687351040 in words is "two billion, six hundred eighty-seven million, three hundred fifty-one thousand, forty".