2974893723648 has 2080 divisors, whose sum is σ = 11892570826752. Its totient is φ = 718228684800.

The previous prime is 2974893723647. The next prime is 2974893723649. The reversal of 2974893723648 is 8463273984792.

2974893723648 is a `hidden beast` number, since 2 + 9 + 7 + 489 + 3 + 72 + 36 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2974893723647) and next prime (2974893723649).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974893723647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35842093015 + ... + 35842093097.

Almost surely, 2^{2974893723648} is an apocalyptic number.

2974893723648 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 2974893723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946285413376).

2974893723648 is an abundant number, since it is smaller than the sum of its proper divisors (8917677103104).

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

2974893723648 is a wasteful number, since it uses less digits than its factorization.

2974893723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 190 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 2974893723648 in words is "two trillion, nine hundred seventy-four billion, eight hundred ninety-three million, seven hundred twenty-three thousand, six hundred forty-eight".