2087274240 has 216 divisors, whose sum is σ = 7255750320. Its totient is φ = 553992192.

The previous prime is 2087274239. The next prime is 2087274251. The reversal of 2087274240 is 424727802.

2087274240 is a `hidden beast` number, since 208 + 7 + 27 + 424 + 0 = 666.

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 = 2087274195 and 2087274204.

It is a congruent number.

It is an unprimeable number.

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, 4711459 + ... + 4711901.

Almost surely, 2^2087274240 is an apocalyptic number.

2087274240 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 2087274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3627875160).

2087274240 is an abundant number, since it is smaller than the sum of its proper divisors (5168476080).

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

2087274240 is a wasteful number, since it uses less digits than its factorization.

2087274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2087274240 is about 45686.6965319227. The cubic root of 2087274240 is about 1277.9872011179.

The spelling of 2087274240 in words is "two billion, eighty-seven million, two hundred seventy-four thousand, two hundred forty".