2682470400 has 360 divisors, whose sum is σ = 9263886240. Its totient is φ = 684195840.

The previous prime is 2682470389. The next prime is 2682470471. The reversal of 2682470400 is 40742862.

It is a super-3 number, since 3×2682470400³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45465571 + ... + 45465629.

Almost surely, 2^2682470400 is an apocalyptic number.

2682470400 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 2682470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631943120).

2682470400 is an abundant number, since it is smaller than the sum of its proper divisors (6581415840).

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

2682470400 is an equidigital number, since it uses as much as digits as its factorization.

2682470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2682470400 is about 51792.5708958341. The cubic root of 2682470400 is about 1389.4565789784.

The spelling of 2682470400 in words is "two billion, six hundred eighty-two million, four hundred seventy thousand, four hundred".