2503952 has 40 divisors (see below), whose sum is σ = 5437152. Its totient is φ = 1107200.

The previous prime is 2503931. The next prime is 2503961. The reversal of 2503952 is 2593052.

2503952 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7043 + ... + 7389.

2^2503952 is an apocalyptic number.

2503952 is a gapful number since it is divisible by the number (22) 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 2503952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718576).

2503952 is an abundant number, since it is smaller than the sum of its proper divisors (2933200).

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

2503952 is a wasteful number, since it uses less digits than its factorization.

2503952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 2503952 is about 1582.3880687113. The cubic root of 2503952 is about 135.7923590349.

The spelling of 2503952 in words is "two million, five hundred three thousand, nine hundred fifty-two".