2386016087040 has 528 divisors, whose sum is σ = 8385505040640. Its totient is φ = 627255705600.

The previous prime is 2386016087011. The next prime is 2386016087047. The reversal of 2386016087040 is 407806106832.

2386016087040 is a `hidden beast` number, since 2 + 38 + 6 + 0 + 1 + 608 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×2386016087040² (a number of 26 digits) 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 (2386016087047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967171887 + ... + 967174353.

Almost surely, 2^{2386016087040} is an apocalyptic number.

2386016087040 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 2386016087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192752520320).

2386016087040 is an abundant number, since it is smaller than the sum of its proper divisors (5999488953600).

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

2386016087040 is a wasteful number, since it uses less digits than its factorization.

2386016087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2386016087040 in words is "two trillion, three hundred eighty-six billion, sixteen million, eighty-seven thousand, forty".