2788402011520 has 128 divisors (see below), whose sum is σ = 6760067544000. Its totient is φ = 1099696570368.

The previous prime is 2788402011487. The next prime is 2788402011523. The reversal of 2788402011520 is 251102048872.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788402011523) 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, 20037541 + ... + 20176219.

Almost surely, 2^{2788402011520} is an apocalyptic number.

2788402011520 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 2788402011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380033772000).

2788402011520 is an abundant number, since it is smaller than the sum of its proper divisors (3971665532480).

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

2788402011520 is a wasteful number, since it uses less digits than its factorization.

2788402011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139140 (or 139128 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 2788402011520 in words is "two trillion, seven hundred eighty-eight billion, four hundred two million, eleven thousand, five hundred twenty".