2746149252 has 96 divisors (see below), whose sum is σ = 8006390784. Its totient is φ = 711715200.

The previous prime is 2746149233. The next prime is 2746149271. The reversal of 2746149252 is 2529416472.

It is a happy number.

2746149252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2746149233) and next prime (2746149271).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 450658 + ... + 456710.

It is an arithmetic number, because the mean of its divisors is an integer number (83399904).

Almost surely, 2^2746149252 is an apocalyptic number.

2746149252 is a gapful number since it is divisible by the number (22) 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 2746149252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003195392).

2746149252 is an abundant number, since it is smaller than the sum of its proper divisors (5260241532).

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

2746149252 is a wasteful number, since it uses less digits than its factorization.

2746149252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6569 (or 6567 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 2746149252 is about 52403.7141050136. The cubic root of 2746149252 is about 1400.3654236576.

The spelling of 2746149252 in words is "two billion, seven hundred forty-six million, one hundred forty-nine thousand, two hundred fifty-two".