2048287500 has 540 divisors, whose sum is σ = 8125386192. Its totient is φ = 440640000.

The previous prime is 2048287489. The next prime is 2048287519. The reversal of 2048287500 is 57828402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

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 179 ways as a sum of consecutive naturals, for example, 120487492 + ... + 120487508.

Almost surely, 2^2048287500 is an apocalyptic number.

2048287500 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 2048287500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062693096).

2048287500 is an abundant number, since it is smaller than the sum of its proper divisors (6077098692).

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

2048287500 is an equidigital number, since it uses as much as digits as its factorization.

2048287500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2048287500 is about 45258.0103407121. The cubic root of 2048287500 is about 1269.9802629871.

Multiplying 2048287500 by its product of nonzero digits (35840), we get a square (73410624000000 = 8568000²).

The spelling of 2048287500 in words is "two billion, forty-eight million, two hundred eighty-seven thousand, five hundred".