2784992142240 has 1920 divisors, whose sum is σ = 12974428938240. Its totient is φ = 545423155200.

The previous prime is 2784992142227. The next prime is 2784992142259. The reversal of 2784992142240 is 422412994872.

2784992142240 is a `hidden beast` number, since 2 + 7 + 8 + 499 + 2 + 142 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1629602506 + ... + 1629604214.

It is an arithmetic number, because the mean of its divisors is an integer number (6757515072).

Almost surely, 2^{2784992142240} is an apocalyptic number.

2784992142240 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 2784992142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487214469120).

2784992142240 is an abundant number, since it is smaller than the sum of its proper divisors (10189436796000).

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

2784992142240 is a wasteful number, since it uses less digits than its factorization.

2784992142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2784992142240 in words is "two trillion, seven hundred eighty-four billion, nine hundred ninety-two million, one hundred forty-two thousand, two hundred forty".