2492406720 has 448 divisors, whose sum is σ = 9480499200. Its totient is φ = 614154240.

The previous prime is 2492406701. The next prime is 2492406731. The reversal of 2492406720 is 276042942.

2492406720 is a `hidden beast` number, since 249 + 2 + 406 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×2492406720³ (a number of 29 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10428361 + ... + 10428599.

Almost surely, 2^2492406720 is an apocalyptic number.

2492406720 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 2492406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740249600).

2492406720 is an abundant number, since it is smaller than the sum of its proper divisors (6988092480).

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

2492406720 is a wasteful number, since it uses less digits than its factorization.

2492406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2492406720 is about 49924.0094543697. The cubic root of 2492406720 is about 1355.8333258997.

The spelling of 2492406720 in words is "two billion, four hundred ninety-two million, four hundred six thousand, seven hundred twenty".