2541948 has 24 divisors (see below), whose sum is σ = 6058752. Its totient is φ = 829104.

The previous prime is 2541947. The next prime is 2541949. The reversal of 2541948 is 8491452.

It is an interprime number because it is at equal distance from previous prime (2541947) and next prime (2541949).

It is a super-2 number, since 2×2541948² = 12922999269408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1690 + ... + 2817.

It is an arithmetic number, because the mean of its divisors is an integer number (252448).

2^2541948 is an apocalyptic number.

It is an amenable number.

2541948 is an abundant number, since it is smaller than the sum of its proper divisors (3516804).

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

2541948 is a wasteful number, since it uses less digits than its factorization.

2541948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4559 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 2541948 is about 1594.3487698744. The cubic root of 2541948 is about 136.4757702300.

The spelling of 2541948 in words is "two million, five hundred forty-one thousand, nine hundred forty-eight".