2893484543040 has 3024 divisors, whose sum is σ = 13986801187632. Its totient is φ = 542222843904.

The previous prime is 2893484543017. The next prime is 2893484543063. The reversal of 2893484543040 is 403454843982.

It is a happy number.

2893484543040 is a `hidden beast` number, since 2 + 8 + 93 + 4 + 8 + 4 + 543 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2893484543017) and next prime (2893484543063).

It can be written as a sum of positive squares in 8 ways, for example, as 127809110016 + 2765675433024 = 357504^2 + 1663032^2 .

It is a super-2 number, since 2×2893484543040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11258694592 + ... + 11258694848.

It is an arithmetic number, because the mean of its divisors is an integer number (4625264943).

Almost surely, 2^{2893484543040} is an apocalyptic number.

2893484543040 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 2893484543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993400593816).

2893484543040 is an abundant number, since it is smaller than the sum of its proper divisors (11093316644592).

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

2893484543040 is a wasteful number, since it uses less digits than its factorization.

2893484543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 2893484543040 in words is "two trillion, eight hundred ninety-three billion, four hundred eighty-four million, five hundred forty-three thousand, forty".