2478762 has 80 divisors (see below), whose sum is σ = 6586272. Its totient is φ = 686880.

The previous prime is 2478761. The next prime is 2478793. The reversal of 2478762 is 2678742.

2478762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2478762² = 12288522105288, which contains 22 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2 + 4⁹ + 7 + 8³ + 7⁶ + 6⁴ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2478761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23113 + ... + 23219.

2^2478762 is an apocalyptic number.

2478762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293136).

2478762 is an abundant number, since it is smaller than the sum of its proper divisors (4107510).

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

2478762 is a wasteful number, since it uses less digits than its factorization.

2478762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2478762 is about 1574.4084603431. The cubic root of 2478762 is about 135.3354620150.

It can be divided in two parts, 2478 and 762, that added together give a triangular number (3240 = T₈₀).

The spelling of 2478762 in words is "two million, four hundred seventy-eight thousand, seven hundred sixty-two".