2497801029064 has 384 divisors, whose sum is σ = 5707260518400. Its totient is φ = 1014902784000.

The previous prime is 2497801029041. The next prime is 2497801029067. The reversal of 2497801029064 is 4609201087942.

It is a super-3 number, since 3×2497801029064³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2497801029067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9719070024 + ... + 9719070280.

It is an arithmetic number, because the mean of its divisors is an integer number (14862657600).

Almost surely, 2^{2497801029064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2497801029064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853630259200).

2497801029064 is an abundant number, since it is smaller than the sum of its proper divisors (3209459489336).

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

2497801029064 is a wasteful number, since it uses less digits than its factorization.

2497801029064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 2497801029064 in words is "two trillion, four hundred ninety-seven billion, eight hundred one million, twenty-nine thousand, sixty-four".