2542213100 has 144 divisors (see below), whose sum is σ = 6492292800. Its totient is φ = 863654400.

The previous prime is 2542213087. The next prime is 2542213139. The reversal of 2542213100 is 13122452.

It is a super-2 number, since 2×2542213100² = 12925694891623220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4698830 + ... + 4699370.

Almost surely, 2^2542213100 is an apocalyptic number.

2542213100 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 2542213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246146400).

2542213100 is an abundant number, since it is smaller than the sum of its proper divisors (3950079700).

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

2542213100 is a wasteful number, since it uses less digits than its factorization.

2542213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2542213100 is about 50420.3639415663. The cubic root of 2542213100 is about 1364.8051442213.

Adding to 2542213100 its reverse (13122452), we get a palindrome (2555335552).

The spelling of 2542213100 in words is "two billion, five hundred forty-two million, two hundred thirteen thousand, one hundred".