2507428 has 36 divisors (see below), whose sum is σ = 5573232. Its totient is φ = 976080.

The previous prime is 2507413. The next prime is 2507467. The reversal of 2507428 is 8247052.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2⁷ + 5⁷ + 0 + 7⁷ + 4¹⁰ + 2¹⁹ + 8⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 2507396 and 2507405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1575 + ... + 2737.

It is an arithmetic number, because the mean of its divisors is an integer number (154812).

2^2507428 is an apocalyptic number.

2507428 is a gapful number since it is divisible by the number (28) 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 2507428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786616).

2507428 is an abundant number, since it is smaller than the sum of its proper divisors (3065804).

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

2507428 is a wasteful number, since it uses less digits than its factorization.

2507428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2507428 is about 1583.4860277249. The cubic root of 2507428 is about 135.8551658819.

The spelling of 2507428 in words is "two million, five hundred seven thousand, four hundred twenty-eight".