2978941335552 has 1536 divisors, whose sum is σ = 11377207296000. Its totient is φ = 753582735360.

The previous prime is 2978941335547. The next prime is 2978941335553. The reversal of 2978941335552 is 2555331498792.

2978941335552 is a `hidden beast` number, since 2 + 9 + 7 + 8 + 9 + 41 + 3 + 35 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2978941335552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978941335553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26362312648 + ... + 26362312760.

It is an arithmetic number, because the mean of its divisors is an integer number (7407036000).

Almost surely, 2^{2978941335552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2978941335552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688603648000).

2978941335552 is an abundant number, since it is smaller than the sum of its proper divisors (8398265960448).

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

2978941335552 is a wasteful number, since it uses less digits than its factorization.

2978941335552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 169 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 2978941335552 in words is "two trillion, nine hundred seventy-eight billion, nine hundred forty-one million, three hundred thirty-five thousand, five hundred fifty-two".