2995640988480 has 560 divisors, whose sum is σ = 12598274747520. Its totient is φ = 661105815552.

The previous prime is 2995640988449. The next prime is 2995640988511. The reversal of 2995640988480 is 848890465992.

2995640988480 is a `hidden beast` number, since 2 + 9 + 9 + 5 + 64 + 0 + 9 + 88 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2995640988449) and next prime (2995640988511).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×2995640988480² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2995640988399 and 2995640988408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4977099 + ... + 5546421.

It is an arithmetic number, because the mean of its divisors is an integer number (22496919192).

Almost surely, 2^{2995640988480} is an apocalyptic number.

2995640988480 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 2995640988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299137373760).

2995640988480 is an abundant number, since it is smaller than the sum of its proper divisors (9602633759040).

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

2995640988480 is a wasteful number, since it uses less digits than its factorization.

2995640988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569388 (or 569369 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 2995640988480 in words is "two trillion, nine hundred ninety-five billion, six hundred forty million, nine hundred eighty-eight thousand, four hundred eighty".