2087024940 has 756 divisors, whose sum is σ = 8938449072. Its totient is φ = 400308480.

The previous prime is 2087024921. The next prime is 2087024963. The reversal of 2087024940 is 494207802.

It is a tau number, because it is divible by the number of its divisors (756).

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 = 2087024895 and 2087024904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 160540374 + ... + 160540386.

Almost surely, 2^2087024940 is an apocalyptic number.

2087024940 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 2087024940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4469224536).

2087024940 is an abundant number, since it is smaller than the sum of its proper divisors (6851424132).

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

2087024940 is a wasteful number, since it uses less digits than its factorization.

2087024940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2087024940 is about 45683.9680850952. The cubic root of 2087024940 is about 1277.9363189852.

The spelling of 2087024940 in words is "two billion, eighty-seven million, twenty-four thousand, nine hundred forty".