2087964480 has 448 divisors, whose sum is σ = 8207654400. Its totient is φ = 447971328.

The previous prime is 2087964451. The next prime is 2087964491. The reversal of 2087964480 is 844697802.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5597574 + ... + 5597946.

Almost surely, 2^2087964480 is an apocalyptic number.

2087964480 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 2087964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103827200).

2087964480 is an abundant number, since it is smaller than the sum of its proper divisors (6119689920).

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

2087964480 is a wasteful number, since it uses less digits than its factorization.

2087964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2087964480 is about 45694.2499664892. The cubic root of 2087964480 is about 1278.1280579750.

The spelling of 2087964480 in words is "two billion, eighty-seven million, nine hundred sixty-four thousand, four hundred eighty".