2569994288640 has 240 divisors, whose sum is σ = 8906446692000. Its totient is φ = 684882640896.

The previous prime is 2569994288633. The next prime is 2569994288669. The reversal of 2569994288640 is 468824999652.

2569994288640 is a `hidden beast` number, since 2 + 56 + 9 + 99 + 428 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35883586 + ... + 35955134.

It is an arithmetic number, because the mean of its divisors is an integer number (37110194550).

Almost surely, 2^{2569994288640} is an apocalyptic number.

2569994288640 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 2569994288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453223346000).

2569994288640 is an abundant number, since it is smaller than the sum of its proper divisors (6336452403360).

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

2569994288640 is a wasteful number, since it uses less digits than its factorization.

2569994288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73137 (or 73118 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 2569994288640 in words is "two trillion, five hundred sixty-nine billion, nine hundred ninety-four million, two hundred eighty-eight thousand, six hundred forty".