2087392896 has 256 divisors, whose sum is σ = 6580224000. Its totient is φ = 649534464.

The previous prime is 2087392859. The next prime is 2087392933. The reversal of 2087392896 is 6982937802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2087392859) and next prime (2087392933).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5449921 + ... + 5450303.

It is an arithmetic number, because the mean of its divisors is an integer number (25704000).

Almost surely, 2^2087392896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087392896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112000).

2087392896 is an abundant number, since it is smaller than the sum of its proper divisors (4492831104).

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

2087392896 is a wasteful number, since it uses less digits than its factorization.

2087392896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2087392896 is about 45687.9950971806. The cubic root of 2087392896 is about 1278.0114173857.

The spelling of 2087392896 in words is "two billion, eighty-seven million, three hundred ninety-two thousand, eight hundred ninety-six".