2579340540 has 192 divisors, whose sum is σ = 8501649408. Its totient is φ = 572140800.

The previous prime is 2579340539. The next prime is 2579340541. The reversal of 2579340540 is 450439752.

It is an interprime number because it is at equal distance from previous prime (2579340539) and next prime (2579340541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2579340541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1997295 + ... + 1998585.

It is an arithmetic number, because the mean of its divisors is an integer number (44279424).

Almost surely, 2^2579340540 is an apocalyptic number.

2579340540 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 2579340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250824704).

2579340540 is an abundant number, since it is smaller than the sum of its proper divisors (5922308868).

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

2579340540 is a wasteful number, since it uses less digits than its factorization.

2579340540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 2579340540 is about 50787.2084288948. The cubic root of 2579340540 is about 1371.4171032957.

The spelling of 2579340540 in words is "two billion, five hundred seventy-nine million, three hundred forty thousand, five hundred forty".