2087406858240 has 1248 divisors, whose sum is σ = 8670939653376. Its totient is φ = 476058746880.

The previous prime is 2087406858239. The next prime is 2087406858241. The reversal of 2087406858240 is 428586047802.

2087406858240 is a `hidden beast` number, since 2 + 0 + 87 + 406 + 85 + 82 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2087406858239) and next prime (2087406858241).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087406858241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 930630559 + ... + 930632801.

It is an arithmetic number, because the mean of its divisors is an integer number (6947868312).

Almost surely, 2^{2087406858240} is an apocalyptic number.

2087406858240 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 2087406858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335469826688).

2087406858240 is an abundant number, since it is smaller than the sum of its proper divisors (6583532795136).

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

2087406858240 is a wasteful number, since it uses less digits than its factorization.

2087406858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 2087406858240 in words is "two trillion, eighty-seven billion, four hundred six million, eight hundred fifty-eight thousand, two hundred forty".