2487877632 has 288 divisors, whose sum is σ = 7969147200. Its totient is φ = 764411904.

The previous prime is 2487877591. The next prime is 2487877633. The reversal of 2487877632 is 2367787842.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2487877632² = 12379070223611854848, which contains 22 as substring.

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 (2487877633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67239918 + ... + 67239954.

It is an arithmetic number, because the mean of its divisors is an integer number (27670650).

Almost surely, 2^2487877632 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 2487877632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984573600).

2487877632 is an abundant number, since it is smaller than the sum of its proper divisors (5481269568).

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

2487877632 is an frugal number, since it uses more digits than its factorization.

2487877632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 61 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 54.

The square root of 2487877632 is about 49878.6290108299. The cubic root of 2487877632 is about 1355.0115750885.

The spelling of 2487877632 in words is "two billion, four hundred eighty-seven million, eight hundred seventy-seven thousand, six hundred thirty-two".