2087078400 has 720 divisors, whose sum is σ = 8588387808. Its totient is φ = 497664000.

The previous prime is 2087078377. The next prime is 2087078419. The reversal of 2087078400 is 48707802.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34214370 + ... + 34214430.

Almost surely, 2^2087078400 is an apocalyptic number.

2087078400 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 2087078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294193904).

2087078400 is an abundant number, since it is smaller than the sum of its proper divisors (6501309408).

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

2087078400 is an equidigital number, since it uses as much as digits as its factorization.

2087078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 2087078400 is about 45684.5531881401. The cubic root of 2087078400 is about 1277.9472305131.

The spelling of 2087078400 in words is "two billion, eighty-seven million, seventy-eight thousand, four hundred".