2978457120000 has 1080 divisors, whose sum is σ = 11428737039720. Its totient is φ = 745758720000.

The previous prime is 2978457119977. The next prime is 2978457120013. The reversal of 2978457120000 is 217548792.

It is a happy number.

2978457120000 is a `hidden beast` number, since 2 + 9 + 78 + 4 + 571 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 2862214308864 + 116242811136 = 1691808^2 + 340944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7074719790 + ... + 7074720210.

Almost surely, 2^{2978457120000} is an apocalyptic number.

2978457120000 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 2978457120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714368519860).

2978457120000 is an abundant number, since it is smaller than the sum of its proper divisors (8450279919720).

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

2978457120000 is an frugal number, since it uses more digits than its factorization.

2978457120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 2978457120000 in words is "two trillion, nine hundred seventy-eight billion, four hundred fifty-seven million, one hundred twenty thousand".