2540598000 has 160 divisors (see below), whose sum is σ = 8272422912. Its totient is φ = 670752000.

The previous prime is 2540597999. The next prime is 2540598013. The reversal of 2540598000 is 8950452.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615945 + ... + 620055.

Almost surely, 2^2540598000 is an apocalyptic number.

2540598000 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 2540598000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136211456).

2540598000 is an abundant number, since it is smaller than the sum of its proper divisors (5731824912).

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

2540598000 is a wasteful number, since it uses less digits than its factorization.

2540598000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4240 (or 4224 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2540598000 is about 50404.3450507989. The cubic root of 2540598000 is about 1364.5160570268.

The spelling of 2540598000 in words is "two billion, five hundred forty million, five hundred ninety-eight thousand".