2471400 has 72 divisors (see below), whose sum is σ = 8305830. Its totient is φ = 658560.

The previous prime is 2471393. The next prime is 2471407. The reversal of 2471400 is 41742.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2471393) and next prime (2471407).

It can be written as a sum of positive squares in 3 ways, for example, as 2377764 + 93636 = 1542^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2471400² = 12215635920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2471407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1114 + ... + 2486.

2^2471400 is an apocalyptic number.

2471400 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 2471400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152915).

2471400 is an abundant number, since it is smaller than the sum of its proper divisors (5834430).

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

2471400 is a wasteful number, since it uses less digits than its factorization.

2471400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2471400 is about 1572.0687007889. The cubic root of 2471400 is about 135.2013456444.

The spelling of 2471400 in words is "two million, four hundred seventy-one thousand, four hundred".