2462000 has 40 divisors (see below), whose sum is σ = 5957952. Its totient is φ = 984000.

The previous prime is 2461997. The next prime is 2462023. The reversal of 2462000 is 2642.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2462000² = 12122888000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam 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, 1385 + ... + 2615.

2^2462000 is an apocalyptic number.

2462000 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 2462000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978976).

2462000 is an abundant number, since it is smaller than the sum of its proper divisors (3495952).

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

2462000 is a wasteful number, since it uses less digits than its factorization.

2462000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2462000 is about 1569.0761613128. The cubic root of 2462000 is about 135.0297145382.

Adding to 2462000 its reverse (2642), we get a palindrome (2464642).

The spelling of 2462000 in words is "two million, four hundred sixty-two thousand".