2579420100 has 216 divisors, whose sum is σ = 8067608640. Its totient is φ = 635078400.

The previous prime is 2579420093. The next prime is 2579420119. The reversal of 2579420100 is 10249752.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6630706 + ... + 6631094.

It is an arithmetic number, because the mean of its divisors is an integer number (37350040).

Almost surely, 2^2579420100 is an apocalyptic number.

2579420100 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 2579420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033804320).

2579420100 is an abundant number, since it is smaller than the sum of its proper divisors (5488188540).

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

2579420100 is a wasteful number, since it uses less digits than its factorization.

2579420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2579420100 is about 50787.9916909499. The cubic root of 2579420100 is about 1371.4312036470.

Adding to 2579420100 its reverse (10249752), we get a palindrome (2589669852).

The spelling of 2579420100 in words is "two billion, five hundred seventy-nine million, four hundred twenty thousand, one hundred".