2978509684248 has 192 divisors, whose sum is σ = 9705984288000. Its totient is φ = 806082990336.

The previous prime is 2978509684243. The next prime is 2978509684259. The reversal of 2978509684248 is 8424869058792.

2978509684248 is a `hidden beast` number, since 2 + 9 + 78 + 509 + 6 + 8 + 4 + 2 + 48 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978509684243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69280023 + ... + 69323001.

It is an arithmetic number, because the mean of its divisors is an integer number (50552001500).

Almost surely, 2^{2978509684248} is an apocalyptic number.

2978509684248 is a gapful number since it is divisible by the number (28) 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 2978509684248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852992144000).

2978509684248 is an abundant number, since it is smaller than the sum of its proper divisors (6727474603752).

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

2978509684248 is a wasteful number, since it uses less digits than its factorization.

2978509684248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50254 (or 50247 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 2978509684248 in words is "two trillion, nine hundred seventy-eight billion, five hundred nine million, six hundred eighty-four thousand, two hundred forty-eight".