2472685020 has 288 divisors, whose sum is σ = 8701318080. Its totient is φ = 562913280.

The previous prime is 2472685013. The next prime is 2472685027. The reversal of 2472685020 is 205862742.

2472685020 is a `hidden beast` number, since 24 + 72 + 68 + 502 + 0 = 666.

2472685020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2472685013) and next prime (2472685027).

It is a super-2 number, since 2×2472685020² = 12228342416264800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472685027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2426071 + ... + 2427089.

It is an arithmetic number, because the mean of its divisors is an integer number (30212910).

Almost surely, 2^2472685020 is an apocalyptic number.

2472685020 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 2472685020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350659040).

2472685020 is an abundant number, since it is smaller than the sum of its proper divisors (6228633060).

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

2472685020 is a wasteful number, since it uses less digits than its factorization.

2472685020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2472685020 is about 49726.0999878334. The cubic root of 2472685020 is about 1352.2477451473.

It can be divided in two parts, 24726 and 85020, that added together give a triangular number (109746 = T₄₆₈).

The spelling of 2472685020 in words is "two billion, four hundred seventy-two million, six hundred eighty-five thousand, twenty".