2457081000 has 256 divisors, whose sum is σ = 9293356800. Its totient is φ = 595584000.

The previous prime is 2457080963. The next prime is 2457081013. The reversal of 2457081000 is 1807542.

It is a super-2 number, since 2×2457081000² = 12074494081122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292864 + ... + 301136.

It is an arithmetic number, because the mean of its divisors is an integer number (36302175).

Almost surely, 2^2457081000 is an apocalyptic number.

2457081000 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 2457081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646678400).

2457081000 is an abundant number, since it is smaller than the sum of its proper divisors (6836275800).

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

2457081000 is a wasteful number, since it uses less digits than its factorization.

2457081000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8294 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2457081000 is about 49568.9519760101. The cubic root of 2457081000 is about 1349.3972617981.

Adding to 2457081000 its reverse (1807542), we get a palindrome (2458888542).

It can be divided in two parts, 24570 and 81000, that added together give a triangular number (105570 = T₄₅₉).

The spelling of 2457081000 in words is "two billion, four hundred fifty-seven million, eighty-one thousand".