2649432000 has 224 divisors, whose sum is σ = 8843125824. Its totient is φ = 698880000.

The previous prime is 2649431959. The next prime is 2649432041. The reversal of 2649432000 is 2349462.

It is an interprime number because it is at equal distance from previous prime (2649431959) and next prime (2649432041).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2423454 + ... + 2424546.

Almost surely, 2^2649432000 is an apocalyptic number.

2649432000 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 2649432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421562912).

2649432000 is an abundant number, since it is smaller than the sum of its proper divisors (6193693824).

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

2649432000 is a wasteful number, since it uses less digits than its factorization.

2649432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 2649432000 is about 51472.6335055824. The cubic root of 2649432000 is about 1383.7286268914.

The spelling of 2649432000 in words is "two billion, six hundred forty-nine million, four hundred thirty-two thousand".