2832976674240 has 448 divisors, whose sum is σ = 10125457560576. Its totient is φ = 667270709248.

The previous prime is 2832976674239. The next prime is 2832976674251. The reversal of 2832976674240 is 424766792382.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19822879 + ... + 19965281.

Almost surely, 2^{2832976674240} is an apocalyptic number.

2832976674240 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 2832976674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062728780288).

2832976674240 is an abundant number, since it is smaller than the sum of its proper divisors (7292480886336).

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

2832976674240 is a wasteful number, since it uses less digits than its factorization.

2832976674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142516 (or 142506 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 2832976674240 in words is "two trillion, eight hundred thirty-two billion, nine hundred seventy-six million, six hundred seventy-four thousand, two hundred forty".