2975145729120 has 384 divisors, whose sum is σ = 10650243502080. Its totient is φ = 775347148800.

The previous prime is 2975145729113. The next prime is 2975145729133. The reversal of 2975145729120 is 219275415792.

2975145729120 is a `hidden beast` number, since 2 + 9 + 7 + 51 + 4 + 572 + 9 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142320589 + ... + 142341491.

It is an arithmetic number, because the mean of its divisors is an integer number (27735009120).

Almost surely, 2^{2975145729120} is an apocalyptic number.

2975145729120 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 2975145729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5325121751040).

2975145729120 is an abundant number, since it is smaller than the sum of its proper divisors (7675097772960).

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

2975145729120 is a wasteful number, since it uses less digits than its factorization.

2975145729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21675 (or 21661 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 2975145729120 in words is "two trillion, nine hundred seventy-five billion, one hundred forty-five million, seven hundred twenty-nine thousand, one hundred twenty".