2024087040 has 240 divisors, whose sum is σ = 7133583600. Its totient is φ = 530251776.

The previous prime is 2024087029. The next prime is 2024087089. The reversal of 2024087040 is 407804202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2024086995 and 2024087013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358616 + ... + 1360104.

It is an arithmetic number, because the mean of its divisors is an integer number (29723265).

Almost surely, 2^2024087040 is an apocalyptic number.

2024087040 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 2024087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566791800).

2024087040 is an abundant number, since it is smaller than the sum of its proper divisors (5109496560).

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

2024087040 is a wasteful number, since it uses less digits than its factorization.

2024087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2024087040 is about 44989.8548564007. The cubic root of 2024087040 is about 1264.9588409070.

The spelling of 2024087040 in words is "two billion, twenty-four million, eighty-seven thousand, forty".