2534501046840 has 256 divisors, whose sum is σ = 8953161984000. Its totient is φ = 573689152512.

The previous prime is 2534501046839. The next prime is 2534501046863. The reversal of 2534501046840 is 486401054352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2534501046792 and 2534501046801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3940564 + ... + 4538396.

It is an arithmetic number, because the mean of its divisors is an integer number (34973289000).

Almost surely, 2^{2534501046840} is an apocalyptic number.

2534501046840 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 2534501046840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4476580992000).

2534501046840 is an abundant number, since it is smaller than the sum of its proper divisors (6418660937160).

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

2534501046840 is a wasteful number, since it uses less digits than its factorization.

2534501046840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597971 (or 597953 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 2534501046840 in words is "two trillion, five hundred thirty-four billion, five hundred one million, forty-six thousand, eight hundred forty".