2540989440 has 440 divisors, whose sum is σ = 9951072912. Its totient is φ = 614891520.

The previous prime is 2540989433. The next prime is 2540989501. The reversal of 2540989440 is 449890452.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4561642 + ... + 4562198.

Almost surely, 2^2540989440 is an apocalyptic number.

2540989440 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 2540989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4975536456).

2540989440 is an abundant number, since it is smaller than the sum of its proper divisors (7410083472).

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

2540989440 is a wasteful number, since it uses less digits than its factorization.

2540989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2540989440 is about 50408.2278998181. The cubic root of 2540989440 is about 1364.5861322264.

The spelling of 2540989440 in words is "two billion, five hundred forty million, nine hundred eighty-nine thousand, four hundred forty".