2758952000 has 224 divisors, whose sum is σ = 8222772480. Its totient is φ = 895795200.

The previous prime is 2758951991. The next prime is 2758952003. The reversal of 2758952000 is 2598572.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2758952000² = 15223632276608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2758952003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1062704 + ... + 1065296.

Almost surely, 2^2758952000 is an apocalyptic number.

2758952000 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 2758952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111386240).

2758952000 is an abundant number, since it is smaller than the sum of its proper divisors (5463820480).

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

2758952000 is a wasteful number, since it uses less digits than its factorization.

2758952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2646 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 2758952000 is about 52525.7270297137. The cubic root of 2758952000 is about 1402.5382524150.

The spelling of 2758952000 in words is "two billion, seven hundred fifty-eight million, nine hundred fifty-two thousand".