2978469745020 has 960 divisors, whose sum is σ = 11829319197696. Its totient is φ = 611917701120.

The previous prime is 2978469744973. The next prime is 2978469745021. The reversal of 2978469745020 is 205479648792.

2978469745020 is a `hidden beast` number, since 2 + 9 + 78 + 4 + 6 + 97 + 450 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978469745021) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2940246034 + ... + 2940247046.

Almost surely, 2^{2978469745020} is an apocalyptic number.

2978469745020 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 2978469745020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914659598848).

2978469745020 is an abundant number, since it is smaller than the sum of its proper divisors (8850849452676).

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

2978469745020 is a wasteful number, since it uses less digits than its factorization.

2978469745020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 2978469745020 in words is "two trillion, nine hundred seventy-eight billion, four hundred sixty-nine million, seven hundred forty-five thousand, twenty".