2072582400 has 324 divisors, whose sum is σ = 7960292592. Its totient is φ = 473518080.

The previous prime is 2072582399. The next prime is 2072582423. The reversal of 2072582400 is 42852702.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 939699 + ... + 941901.

Almost surely, 2^2072582400 is an apocalyptic number.

2072582400 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 2072582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980146296).

2072582400 is an abundant number, since it is smaller than the sum of its proper divisors (5887710192).

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

2072582400 is a wasteful number, since it uses less digits than its factorization.

2072582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2072582400 is about 45525.6235542139. The cubic root of 2072582400 is about 1274.9816529463.

The spelling of 2072582400 in words is "two billion, seventy-two million, five hundred eighty-two thousand, four hundred".