2788956757440 has 1792 divisors, whose sum is σ = 12112566681600. Its totient is φ = 590030438400.

The previous prime is 2788956757439. The next prime is 2788956757453. The reversal of 2788956757440 is 447576598872.

It is a happy number.

2788956757440 is a `hidden beast` number, since 2 + 7 + 8 + 8 + 9 + 5 + 6 + 7 + 574 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14601867745 + ... + 14601867935.

It is an arithmetic number, because the mean of its divisors is an integer number (6759244800).

Almost surely, 2^{2788956757440} is an apocalyptic number.

2788956757440 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 2788956757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056283340800).

2788956757440 is an abundant number, since it is smaller than the sum of its proper divisors (9323609924160).

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

2788956757440 is a wasteful number, since it uses less digits than its factorization.

2788956757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 2788956757440 in words is "two trillion, seven hundred eighty-eight billion, nine hundred fifty-six million, seven hundred fifty-seven thousand, four hundred forty".